513924640 has 24 divisors (see below), whose sum is σ = 1214147340. Its totient is φ = 205569792.

The previous prime is 513924617. The next prime is 513924641. The reversal of 513924640 is 46429315.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 501222544 + 12702096 = 22388^2 + 3564^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 513924596 and 513924605.

It is not an unprimeable number, because it can be changed into a prime (513924641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1605855 + ... + 1606174.

Almost surely, 2^513924640 is an apocalyptic number.

It is an amenable number.

513924640 is an abundant number, since it is smaller than the sum of its proper divisors (700222700).

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

513924640 is a wasteful number, since it uses less digits than its factorization.

513924640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212044 (or 3212036 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 513924640 is about 22669.9060430342. The cubic root of 513924640 is about 801.0011632342.

The spelling of 513924640 in words is "five hundred thirteen million, nine hundred twenty-four thousand, six hundred forty".