3125258265600 has 891 divisors, whose sum is σ = 11681038344027. Its totient is φ = 798328258560.

The previous prime is 3125258265487. The next prime is 3125258265683. The reversal of 3125258265600 is 65628525213.

The square root of 3125258265600 is 1767840.

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

3125258265600 is a `hidden beast` number, since 3 + 1 + 2 + 5 + 2 + 5 + 82 + 6 + 560 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42958365696 + 3082299899904 = 207264^2 + 1755648^2 .

It is a super-2 number, since 2×3125258265600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 24608332737 + ... + 24608332863.

Almost surely, 2^{3125258265600} is an apocalyptic number.

3125258265600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3125258265600 is the 1767840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3125258265600

3125258265600 is an abundant number, since it is smaller than the sum of its proper divisors (8555780078427).

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

3125258265600 is a wasteful number, since it uses less digits than its factorization.

3125258265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 3125258265600 in words is "three trillion, one hundred twenty-five billion, two hundred fifty-eight million, two hundred sixty-five thousand, six hundred".