513154152310400 has 192 divisors, whose sum is σ = 1374955880238360. Its totient is φ = 188475555840000.

The previous prime is 513154152310343. The next prime is 513154152310493. The reversal of 513154152310400 is 4013251451315.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 38153747704384 + 475000404606016 = 6176872^2 + 21794504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112805951 + ... + 117266750.

Almost surely, 2^{513154152310400} is an apocalyptic number.

513154152310400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513154152310400 is an abundant number, since it is smaller than the sum of its proper divisors (861801727927960).

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

513154152310400 is a wasteful number, since it uses less digits than its factorization.

513154152310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230072783 (or 230072766 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

The spelling of 513154152310400 in words is "five hundred thirteen trillion, one hundred fifty-four billion, one hundred fifty-two million, three hundred ten thousand, four hundred".