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673425390625 = 581321012
BaseRepresentation
bin10011100110010110100…
…01111111110000100001
32101101020011200100221021
421303023101333300201
542013133400000000
61233211203125441
766440052242161
oct11631321776041
92341204610837
10673425390625
1123a664093309
12aa620973881
134b67194a900
1424845b965a1
15127b604e11a
hex9ccb47fc21

673425390625 has 81 divisors (see below), whose sum is σ = 920628923169. Its totient is φ = 492375000000.

The previous prime is 673425390613. The next prime is 673425390629. The reversal of 673425390625 is 526093524376.

The square root of 673425390625 is 820625.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 40 ways, for example, as 89032414689 + 584392975936 = 298383^2 + 764456^2 .

It is not a de Polignac number, because 673425390625 - 27 = 673425390497 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (673425390629) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6667578075 + ... + 6667578175.

Almost surely, 2673425390625 is an apocalyptic number.

673425390625 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

673425390625 is the 820625-th square number.

673425390625 is the 410313-rd centered octagonal number.

It is an amenable number.

673425390625 is a deficient number, since it is larger than the sum of its proper divisors (247203532544).

673425390625 is an frugal number, since it uses more digits than its factorization.

673425390625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 52.

The spelling of 673425390625 in words is "six hundred seventy-three billion, four hundred twenty-five million, three hundred ninety thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 101 125 169 325 505 625 845 1313 1625 2525 3125 4225 6565 8125 10201 12625 15625 17069 21125 32825 40625 51005 63125 78125 85345 105625 132613 164125 203125 255025 315625 390625 426725 528125 663065 820625 1015625 1275125 1578125 1723969 2133625 2640625 3315325 4103125 5078125 6375625 7890625 8619845 10668125 13203125 16576625 20515625 31878125 39453125 43099225 53340625 66015625 82883125 102578125 159390625 215496125 266703125 414415625 512890625 796953125 1077480625 1333515625 2072078125 3984765625 5387403125 6667578125 10360390625 26937015625 51801953125 134685078125 673425390625