513342141025 has 108 divisors (see below), whose sum is σ = 767772349380. Its totient is φ = 339440640000.

The previous prime is 513342141023. The next prime is 513342141047. The reversal of 513342141025 is 520141243315.

It can be written as a sum of positive squares in 18 ways, for example, as 509955948544 + 3386192481 = 714112^2 + 58191^2 .

It is not a de Polignac number, because 513342141025 - 2¹ = 513342141023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513342141023) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 183269625 + ... + 183272425.

It is an arithmetic number, because the mean of its divisors is an integer number (7109003235).

Almost surely, 2^513342141025 is an apocalyptic number.

It is an amenable number.

513342141025 is a deficient number, since it is larger than the sum of its proper divisors (254430208355).

513342141025 is a wasteful number, since it uses less digits than its factorization.

513342141025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 513342141025 in words is "five hundred thirteen billion, three hundred forty-two million, one hundred forty-one thousand, twenty-five".