513525151344100 has 72 divisors (see below), whose sum is σ = 1273583803072448. Its totient is φ = 176060038838400.

The previous prime is 513525151344097. The next prime is 513525151344157. The reversal of 513525151344100 is 1443151525315.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9630139 + ... + 33463261.

Almost surely, 2^{513525151344100} is an apocalyptic number.

513525151344100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513525151344100 is an abundant number, since it is smaller than the sum of its proper divisors (760058651728348).

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

513525151344100 is a wasteful number, since it uses less digits than its factorization.

513525151344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23863925 (or 23863918 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 40.

The spelling of 513525151344100 in words is "five hundred thirteen trillion, five hundred twenty-five billion, one hundred fifty-one million, three hundred forty-four thousand, one hundred".