513084972 has 12 divisors (see below), whose sum is σ = 1197198296. Its totient is φ = 171028320.

The previous prime is 513084967. The next prime is 513084977. The reversal of 513084972 is 279480315.

It is an interprime number because it is at equal distance from previous prime (513084967) and next prime (513084977).

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 513084972.

It is not an unprimeable number, because it can be changed into a prime (513084977) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21378529 + ... + 21378552.

Almost surely, 2^513084972 is an apocalyptic number.

It is an amenable number.

513084972 is an abundant number, since it is smaller than the sum of its proper divisors (684113324).

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

513084972 is a wasteful number, since it uses less digits than its factorization.

513084972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42757088 (or 42757086 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 513084972 is about 22651.3790308670. The cubic root of 513084972 is about 800.5646908948.

It can be divided in two parts, 51308 and 4972, that added together give a triangular number (56280 = T₃₃₅).

The spelling of 513084972 in words is "five hundred thirteen million, eighty-four thousand, nine hundred seventy-two".