513553152140 has 96 divisors (see below), whose sum is σ = 1251795492864. Its totient is φ = 173326475520.

The previous prime is 513553152127. The next prime is 513553152157. The reversal of 513553152140 is 41251355315.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 513553152140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13986005 + ... + 14022675.

It is an arithmetic number, because the mean of its divisors is an integer number (13039536384).

Almost surely, 2^513553152140 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 513553152140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625897746432).

513553152140 is an abundant number, since it is smaller than the sum of its proper divisors (738242340724).

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

513553152140 is a wasteful number, since it uses less digits than its factorization.

513553152140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38247 (or 38245 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 35.

The spelling of 513553152140 in words is "five hundred thirteen billion, five hundred fifty-three million, one hundred fifty-two thousand, one hundred forty".