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1025055002500 = 2254202492
BaseRepresentation
bin11101110101010100000…
…10100000111110000100
310121222211211211102112121
432322222002200332010
5113243303040040000
62102523114055324
7134025550521364
oct16725202407604
93558754742477
101025055002500
113657a590a131
121467b4a1a544
137587c01c3c9
1437881c2a9a4
151b9e61a0b1a
hexeeaa0a0f84

1025055002500 has 45 divisors (see below), whose sum is σ = 2241700986217. Its totient is φ = 410001752000.

The previous prime is 1025055002429. The next prime is 1025055002557. The reversal of 1025055002500 is 52005505201.

It is a happy number.

The square root of 1025055002500 is 1012450.

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

It can be written as a sum of positive squares in 7 ways, for example, as 940927160196 + 84127842304 = 970014^2 + 290048^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 50612376 + ... + 50632624.

Almost surely, 21025055002500 is an apocalyptic number.

1025055002500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1025055002500 is the 1012450-th square number.

It is an amenable number.

1025055002500 is an abundant number, since it is smaller than the sum of its proper divisors (1216645983717).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1025055002500 is an frugal number, since it uses more digits than its factorization.

1025055002500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40522 (or 20256 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 25.

Multiplying 1025055002500 by its sum of digits (25), we get a square (25626375062500 = 50622502).

1025055002500 divided by its sum of digits (25) gives a square (41002200100 = 2024902).

1025055002500 divided by its product of nonzero digits (2500) gives a square (410022001 = 202492).

The spelling of 1025055002500 in words is "one trillion, twenty-five billion, fifty-five million, two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 20249 40498 80996 101245 202490 404980 506225 1012450 2024900 2531125 5062250 10124500 12655625 25311250 50622500 410022001 820044002 1640088004 2050110005 4100220010 8200440020 10250550025 20501100050 41002200100 51252750125 102505500250 205011000500 256263750625 512527501250 1025055002500