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125007516225 = 3252555588961
BaseRepresentation
bin111010001101100000…
…1110101001001000001
3102221122222200210101100
41310123001311021001
54022003411004400
6133232212525013
712013542233034
oct1643301651101
9387588623340
10125007516225
1149019536189
1220288920769
13ba32778117
14609c40301b
1533b98e4100
hex1d1b075241

125007516225 has 18 divisors (see below), whose sum is σ = 223902351686. Its totient is φ = 66670675200.

The previous prime is 125007516133. The next prime is 125007516229. The reversal of 125007516225 is 522615700521.

125007516225 is a `hidden beast` number, since 1 + 2 + 500 + 75 + 1 + 62 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 32829091344 + 92178424881 = 181188^2 + 303609^2 .

It is not a de Polignac number, because 125007516225 - 210 = 125007515201 is a prime.

It is a super-2 number, since 2×1250075162252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 125007516225.

It is not an unprimeable number, because it can be changed into a prime (125007516229) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 277794256 + ... + 277794705.

Almost surely, 2125007516225 is an apocalyptic number.

125007516225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125007516225 is a deficient number, since it is larger than the sum of its proper divisors (98894835461).

125007516225 is a wasteful number, since it uses less digits than its factorization.

125007516225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555588977 (or 555588969 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 125007516225 in words is "one hundred twenty-five billion, seven million, five hundred sixteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 555588961 1666766883 2777944805 5000300649 8333834415 13889724025 25001503245 41669172075 125007516225