513052512 has 48 divisors (see below), whose sum is σ = 1539159552. Its totient is φ = 146586240.

The previous prime is 513052499. The next prime is 513052583. The reversal of 513052512 is 215250315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381064 + ... + 382407.

It is an arithmetic number, because the mean of its divisors is an integer number (32065824).

Almost surely, 2^513052512 is an apocalyptic number.

It is an amenable number.

513052512 is an abundant number, since it is smaller than the sum of its proper divisors (1026107040).

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

513052512 is a wasteful number, since it uses less digits than its factorization.

513052512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763491 (or 763483 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 513052512 is about 22650.6625068672. The cubic root of 513052512 is about 800.5478081305.

The spelling of 513052512 in words is "five hundred thirteen million, fifty-two thousand, five hundred twelve".