513662435040 has 96 divisors (see below), whose sum is σ = 1673831083680. Its totient is φ = 132253313024.

The previous prime is 513662435029. The next prime is 513662435059. The reversal of 513662435040 is 40534266315.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 513662435040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18436599 + ... + 18464438.

It is an arithmetic number, because the mean of its divisors is an integer number (17435740455).

Almost surely, 2^513662435040 is an apocalyptic number.

It is an amenable number.

513662435040 is an abundant number, since it is smaller than the sum of its proper divisors (1160168648640).

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

513662435040 is a wasteful number, since it uses less digits than its factorization.

513662435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36901084 (or 36901076 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 513662435040 in words is "five hundred thirteen billion, six hundred sixty-two million, four hundred thirty-five thousand, forty".