513140151305225 has 12 divisors (see below), whose sum is σ = 636300083402124. Its totient is φ = 410508059248320.

The previous prime is 513140151305153. The next prime is 513140151305263. The reversal of 513140151305225 is 522503151041315.

It can be written as a sum of positive squares in 6 ways, for example, as 52568720684041 + 460571430621184 = 7250429^2 + 21460928^2 .

It is not a de Polignac number, because 513140151305225 - 2³⁰ = 513139077563401 is a prime.

It is a super-2 number, since 2×513140151305225² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98966414 + ... + 104022263.

It is an arithmetic number, because the mean of its divisors is an integer number (53025006950177).

Almost surely, 2^{513140151305225} is an apocalyptic number.

It is an amenable number.

513140151305225 is a deficient number, since it is larger than the sum of its proper divisors (123159932096899).

513140151305225 is a wasteful number, since it uses less digits than its factorization.

513140151305225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203089804 (or 203089799 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 38.

The spelling of 513140151305225 in words is "five hundred thirteen trillion, one hundred forty billion, one hundred fifty-one million, three hundred five thousand, two hundred twenty-five".