61507631232 has 224 divisors, whose sum is σ = 187199487180. Its totient is φ = 20114085888.

The previous prime is 61507631197. The next prime is 61507631233. The reversal of 61507631232 is 23213670516.

61507631232 is a `hidden beast` number, since 6 + 15 + 0 + 7 + 631 + 2 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59469650496 + 2037980736 = 243864^2 + 45144^2 .

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

It is not an unprimeable number, because it can be changed into a prime (61507631233) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4939318 + ... + 4951754.

Almost surely, 2^61507631232 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 61507631232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93599743590).

61507631232 is an abundant number, since it is smaller than the sum of its proper divisors (125691855948).

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

61507631232 is an equidigital number, since it uses as much as digits as its factorization.

61507631232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12522 (or 12495 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 61507631232 in words is "sixty-one billion, five hundred seven million, six hundred thirty-one thousand, two hundred thirty-two".