256500361633050 has 144 divisors (see below), whose sum is σ = 730932689548152. Its totient is φ = 64264989081600.

The previous prime is 256500361632929. The next prime is 256500361633091. The reversal of 256500361633050 is 50336163005652.

256500361633050 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 0 + 0 + 3 + 6 + 1 + 633 + 0 + 5 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 88349829492681 + 168150532140369 = 9399459^2 + 12967287^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 256500361632987 and 256500361633005.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24640941 + ... + 33469040.

Almost surely, 2^{256500361633050} is an apocalyptic number.

256500361633050 is an abundant number, since it is smaller than the sum of its proper divisors (474432327915102).

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

256500361633050 is a wasteful number, since it uses less digits than its factorization.

256500361633050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58110593 (or 58110585 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 45.

The spelling of 256500361633050 in words is "two hundred fifty-six trillion, five hundred billion, three hundred sixty-one million, six hundred thirty-three thousand, fifty".