513156720 has 80 divisors (see below), whose sum is σ = 1599710112. Its totient is φ = 136074240.

The previous prime is 513156719. The next prime is 513156727. The reversal of 513156720 is 27651315.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×513156720³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513156727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37534 + ... + 49346.

Almost surely, 2^513156720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513156720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799855056).

513156720 is an abundant number, since it is smaller than the sum of its proper divisors (1086553392).

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

513156720 is a wasteful number, since it uses less digits than its factorization.

513156720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12010 (or 12004 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 513156720 is about 22652.9627201388. The cubic root of 513156720 is about 800.6020052069.

The spelling of 513156720 in words is "five hundred thirteen million, one hundred fifty-six thousand, seven hundred twenty".