513525151344091 has 16 divisors (see below), whose sum is σ = 523895189654304. Its totient is φ = 503238573598464.

The previous prime is 513525151344071. The next prime is 513525151344097. The reversal of 513525151344091 is 190443151525315.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 513525151344091 - 2¹³ = 513525151335899 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513525151344097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2712741 + ... + 32162233.

It is an arithmetic number, because the mean of its divisors is an integer number (32743449353394).

Almost surely, 2^{513525151344091} is an apocalyptic number.

513525151344091 is a deficient number, since it is larger than the sum of its proper divisors (10370038310213).

513525151344091 is a wasteful number, since it uses less digits than its factorization.

513525151344091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29450910.

The product of its (nonzero) digits is 1620000, while the sum is 49.

The spelling of 513525151344091 in words is "five hundred thirteen trillion, five hundred twenty-five billion, one hundred fifty-one million, three hundred forty-four thousand, ninety-one".