256734145452625 has 32 divisors (see below), whose sum is σ = 337748718902400. Its totient is φ = 194299885080000.

The previous prime is 256734145452619. The next prime is 256734145452679. The reversal of 256734145452625 is 526254541437652.

It is a happy number.

It is not a de Polignac number, because 256734145452625 - 2¹³ = 256734145444433 is a prime.

It is a super-2 number, since 2×256734145452625² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75438255 + ... + 78768004.

It is an arithmetic number, because the mean of its divisors is an integer number (10554647465700).

Almost surely, 2^{256734145452625} is an apocalyptic number.

256734145452625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256734145452625 is a deficient number, since it is larger than the sum of its proper divisors (81014573449775).

256734145452625 is a wasteful number, since it uses less digits than its factorization.

256734145452625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154206994 (or 154206984 counting only the distinct ones).

The product of its digits is 241920000, while the sum is 61.

The spelling of 256734145452625 in words is "two hundred fifty-six trillion, seven hundred thirty-four billion, one hundred forty-five million, four hundred fifty-two thousand, six hundred twenty-five".