512561972 has 24 divisors (see below), whose sum is σ = 966690816. Its totient is φ = 236393568.

The previous prime is 512561963. The next prime is 512561977. The reversal of 512561972 is 279165215.

It is a happy number.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512561977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92093 + ... + 97499.

It is an arithmetic number, because the mean of its divisors is an integer number (40278784).

Almost surely, 2^512561972 is an apocalyptic number.

512561972 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

512561972 is a deficient number, since it is larger than the sum of its proper divisors (454128844).

512561972 is a wasteful number, since it uses less digits than its factorization.

512561972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7247 (or 7245 counting only the distinct ones).

The product of its digits is 37800, while the sum is 38.

The square root of 512561972 is about 22639.8315364757. The cubic root of 512561972 is about 800.2925867282.

The spelling of 512561972 in words is "five hundred twelve million, five hundred sixty-one thousand, nine hundred seventy-two".