256533779007 has 48 divisors (see below), whose sum is σ = 416649332736. Its totient is φ = 150772104000.

The previous prime is 256533779003. The next prime is 256533779011. The reversal of 256533779007 is 700977335652.

256533779007 is a `hidden beast` number, since 2 + 565 + 3 + 3 + 7 + 79 + 0 + 0 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (256533779003) and next prime (256533779011).

It is not a de Polignac number, because 256533779007 - 2² = 256533779003 is a prime.

It is a super-2 number, since 2×256533779007² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256533779003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129618 + ... + 727920.

It is an arithmetic number, because the mean of its divisors is an integer number (8680194432).

Almost surely, 2^256533779007 is an apocalyptic number.

256533779007 is a deficient number, since it is larger than the sum of its proper divisors (160115553729).

256533779007 is a wasteful number, since it uses less digits than its factorization.

256533779007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598452 (or 598449 counting only the distinct ones).

The product of its (nonzero) digits is 8334900, while the sum is 54.

The spelling of 256533779007 in words is "two hundred fifty-six billion, five hundred thirty-three million, seven hundred seventy-nine thousand, seven".