513108801315 has 96 divisors (see below), whose sum is σ = 1024921647360. Its totient is φ = 234852307200.

The previous prime is 513108801287. The next prime is 513108801319.

513108801315 is a `hidden beast` number, since 513 + 1 + 0 + 8 + 8 + 0 + 131 + 5 = 666.

513108801315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 513108801315 - 2⁹ = 513108800803 is a prime.

It is a super-2 number, since 2×513108801315² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 513108801315.

It is not an unprimeable number, because it can be changed into a prime (513108801319) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2565225 + ... + 2758005.

It is an arithmetic number, because the mean of its divisors is an integer number (10676267160).

Almost surely, 2^513108801315 is an apocalyptic number.

513108801315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

513108801315 is a deficient number, since it is larger than the sum of its proper divisors (511812846045).

513108801315 is a wasteful number, since it uses less digits than its factorization.

513108801315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193105 (or 193102 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 513108801315 in words is "five hundred thirteen billion, one hundred eight million, eight hundred one thousand, three hundred fifteen".