513362040 has 96 divisors (see below), whose sum is σ = 1565056080. Its totient is φ = 134711808.

The previous prime is 513362033. The next prime is 513362041. The reversal of 513362040 is 40263315.

It is a happy number.

It is a super-2 number, since 2×513362040² = 527081168225923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 513362040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513362041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538204 + ... + 539156.

Almost surely, 2^513362040 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 513362040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782528040).

513362040 is an abundant number, since it is smaller than the sum of its proper divisors (1051694040).

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

513362040 is a wasteful number, since it uses less digits than its factorization.

513362040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 513362040 is about 22657.4941244613. The cubic root of 513362040 is about 800.7087677083.

The spelling of 513362040 in words is "five hundred thirteen million, three hundred sixty-two thousand, forty".