513653140 has 96 divisors (see below), whose sum is σ = 1448342784. Its totient is φ = 147778560.

The previous prime is 513653131. The next prime is 513653149. The reversal of 513653140 is 41356315.

It is an interprime number because it is at equal distance from previous prime (513653131) and next prime (513653149).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 513653099 and 513653108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513653149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7192 + ... + 32848.

It is an arithmetic number, because the mean of its divisors is an integer number (15086904).

Almost surely, 2^513653140 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 513653140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724171392).

513653140 is an abundant number, since it is smaller than the sum of its proper divisors (934689644).

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

513653140 is a wasteful number, since it uses less digits than its factorization.

513653140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25697 (or 25695 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 513653140 is about 22663.9171371588. The cubic root of 513653140 is about 800.8600854017.

The spelling of 513653140 in words is "five hundred thirteen million, six hundred fifty-three thousand, one hundred forty".