511077456981 has 128 divisors (see below), whose sum is σ = 942320332800. Its totient is φ = 266569056000.

The previous prime is 511077456971. The next prime is 511077456997. The reversal of 511077456981 is 189654770115.

511077456981 is a `hidden beast` number, since 5 + 1 + 1 + 0 + 7 + 74 + 569 + 8 + 1 = 666.

It is not a de Polignac number, because 511077456981 - 2⁹ = 511077456469 is a prime.

It is a super-2 number, since 2×511077456981² (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 (511077456971) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 157204606 + ... + 157207856.

It is an arithmetic number, because the mean of its divisors is an integer number (7361877600).

Almost surely, 2^511077456981 is an apocalyptic number.

It is an amenable number.

511077456981 is a deficient number, since it is larger than the sum of its proper divisors (431242875819).

511077456981 is a wasteful number, since it uses less digits than its factorization.

511077456981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3976 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 54.

The spelling of 511077456981 in words is "five hundred eleven billion, seventy-seven million, four hundred fifty-six thousand, nine hundred eighty-one".