61031522304 has 672 divisors, whose sum is σ = 201515618304. Its totient is φ = 18393661440.

The previous prime is 61031522303. The next prime is 61031522339. The reversal of 61031522304 is 40322513016.

61031522304 is a `hidden beast` number, since 6 + 103 + 1 + 522 + 30 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (61031522303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1419337707 + ... + 1419337749.

It is an arithmetic number, because the mean of its divisors is an integer number (299874432).

Almost surely, 2^61031522304 is an apocalyptic number.

61031522304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61031522304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100757809152).

61031522304 is an abundant number, since it is smaller than the sum of its proper divisors (140484096000).

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

61031522304 is an equidigital number, since it uses as much as digits as its factorization.

61031522304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 61031522304 in words is "sixty-one billion, thirty-one million, five hundred twenty-two thousand, three hundred four".