513825048 has 72 divisors (see below), whose sum is σ = 1529646300. Its totient is φ = 155701920.

The previous prime is 513825023. The next prime is 513825061. The reversal of 513825048 is 840528315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20778 + ... + 38201.

Almost surely, 2^513825048 is an apocalyptic number.

It is an amenable number.

513825048 is an abundant number, since it is smaller than the sum of its proper divisors (1015821252).

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

513825048 is a wasteful number, since it uses less digits than its factorization.

513825048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59013 (or 58995 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 513825048 is about 22667.7093681739. The cubic root of 513825048 is about 800.9494186429.

The spelling of 513825048 in words is "five hundred thirteen million, eight hundred twenty-five thousand, forty-eight".