61523232516 has 144 divisors (see below), whose sum is σ = 162087110640. Its totient is φ = 19659801600.

The previous prime is 61523232499. The next prime is 61523232521.

61523232516 is a `hidden beast` number, since 61 + 52 + 3 + 2 + 32 + 516 = 666.

61523232516 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 12481358400 + 49041874116 = 111720^2 + 221454^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30806830 + ... + 30808826.

It is an arithmetic number, because the mean of its divisors is an integer number (1125604935).

Almost surely, 2^61523232516 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 61523232516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81043555320).

61523232516 is an abundant number, since it is smaller than the sum of its proper divisors (100563878124).

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

61523232516 is a wasteful number, since it uses less digits than its factorization.

61523232516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2369 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The spelling of 61523232516 in words is "sixty-one billion, five hundred twenty-three million, two hundred thirty-two thousand, five hundred sixteen".