511154932401 has 135 divisors (see below), whose sum is σ = 835644290481. Its totient is φ = 311329702656.

The previous prime is 511154932381. The next prime is 511154932469. The reversal of 511154932401 is 104239451115.

The square root of 511154932401 is 714951.

It is a perfect power (a square), and thus also a powerful number.

511154932401 is a `hidden beast` number, since 5 + 11 + 154 + 93 + 2 + 401 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19613722401 + 491541210000 = 140049^2 + 701100^2 .

It is not a de Polignac number, because 511154932401 - 2²⁹ = 510618061489 is a prime.

It is a super-2 number, since 2×511154932401² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (511154937401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4523494921 + ... + 4523495033.

Almost surely, 2^511154932401 is an apocalyptic number.

511154932401 is the 714951-st square number.

511154932401 is the 357476-th centered octagonal number.

It is an amenable number.

511154932401 is a deficient number, since it is larger than the sum of its proper divisors (324489358080).

511154932401 is an equidigital number, since it uses as much as digits as its factorization.

511154932401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Multiplying 511154932401 by its sum of digits (36), we get a square (18401577566436 = 4289706²).

The spelling of 511154932401 in words is "five hundred eleven billion, one hundred fifty-four million, nine hundred thirty-two thousand, four hundred one".