61513431516 has 108 divisors (see below), whose sum is σ = 165483143280. Its totient is φ = 19262561280.

The previous prime is 61513431503. The next prime is 61513431521.

61513431516 is a `hidden beast` number, since 6 + 1 + 5 + 134 + 3 + 1 + 516 = 666.

61513431516 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5914681 + ... + 5925071.

Almost surely, 2^61513431516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61513431516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82741571640).

61513431516 is an abundant number, since it is smaller than the sum of its proper divisors (103969711764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61513431516 is a wasteful number, since it uses less digits than its factorization.

61513431516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11004 (or 10982 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The spelling of 61513431516 in words is "sixty-one billion, five hundred thirteen million, four hundred thirty-one thousand, five hundred sixteen".