513535406131 has 8 divisors (see below), whose sum is σ = 562132461744. Its totient is φ = 465257020320.

The previous prime is 513535406129. The next prime is 513535406147. The reversal of 513535406131 is 131604535315.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 513535406131 - 2¹ = 513535406129 is a prime.

It is a super-2 number, since 2×513535406131² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513535406191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79664076 + ... + 79670521.

It is an arithmetic number, because the mean of its divisors is an integer number (70266557718).

Almost surely, 2^513535406131 is an apocalyptic number.

513535406131 is a deficient number, since it is larger than the sum of its proper divisors (48597055613).

513535406131 is a wasteful number, since it uses less digits than its factorization.

513535406131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159334901.

The product of its (nonzero) digits is 81000, while the sum is 37.

The spelling of 513535406131 in words is "five hundred thirteen billion, five hundred thirty-five million, four hundred six thousand, one hundred thirty-one".