513320072 has 48 divisors (see below), whose sum is σ = 1038121920. Its totient is φ = 237499680.

The previous prime is 513320029. The next prime is 513320081. The reversal of 513320072 is 270023315.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175373 + ... + 178275.

It is an arithmetic number, because the mean of its divisors is an integer number (21627540).

Almost surely, 2^513320072 is an apocalyptic number.

It is an amenable number.

513320072 is an abundant number, since it is smaller than the sum of its proper divisors (524801848).

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

513320072 is a wasteful number, since it uses less digits than its factorization.

513320072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994 (or 2959 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 513320072 is about 22656.5679660446. The cubic root of 513320072 is about 800.6869474601.

Adding to 513320072 its reverse (270023315), we get a palindrome (783343387).

The spelling of 513320072 in words is "five hundred thirteen million, three hundred twenty thousand, seventy-two".