513251304152225 has 48 divisors (see below), whose sum is σ = 703175321256192. Its totient is φ = 369641794959360.

The previous prime is 513251304152177. The next prime is 513251304152227. The reversal of 513251304152225 is 522251403152315.

It is not a de Polignac number, because 513251304152225 - 2¹² = 513251304148129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513251304152227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1065850109 + ... + 1066331541.

It is an arithmetic number, because the mean of its divisors is an integer number (14649485859504).

Almost surely, 2^{513251304152225} is an apocalyptic number.

It is an amenable number.

513251304152225 is a deficient number, since it is larger than the sum of its proper divisors (189924017103967).

513251304152225 is a wasteful number, since it uses less digits than its factorization.

513251304152225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590546 (or 590541 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 41.

The spelling of 513251304152225 in words is "five hundred thirteen trillion, two hundred fifty-one billion, three hundred four million, one hundred fifty-two thousand, two hundred twenty-five".