511152057 has 24 divisors (see below), whose sum is σ = 822549000. Its totient is φ = 303706368.

The previous prime is 511152029. The next prime is 511152071. The reversal of 511152057 is 750251115.

It can be written as a sum of positive squares in 4 ways, for example, as 32592681 + 478559376 = 5709^2 + 21876^2 .

It is not a de Polignac number, because 511152057 - 2¹¹ = 511150009 is a prime.

It is a super-2 number, since 2×511152057² = 522552850750662498, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 511152057.

It is not an unprimeable number, because it can be changed into a prime (511152007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71932 + ... + 78717.

It is an arithmetic number, because the mean of its divisors is an integer number (34272875).

Almost surely, 2^511152057 is an apocalyptic number.

It is an amenable number.

511152057 is a deficient number, since it is larger than the sum of its proper divisors (311396943).

511152057 is a wasteful number, since it uses less digits than its factorization.

511152057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150697 (or 150694 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 27.

The square root of 511152057 is about 22608.6721635748. The cubic root of 511152057 is about 799.5581189922.

The spelling of 511152057 in words is "five hundred eleven million, one hundred fifty-two thousand, fifty-seven".