61131504 has 80 divisors (see below), whose sum is σ = 186337280. Its totient is φ = 16899840.

The previous prime is 61131487. The next prime is 61131527. The reversal of 61131504 is 40513116.

61131504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7482 + ... + 13350.

It is an arithmetic number, because the mean of its divisors is an integer number (2329216).

Almost surely, 2^61131504 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 61131504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93168640).

61131504 is an abundant number, since it is smaller than the sum of its proper divisors (125205776).

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

61131504 is a wasteful number, since it uses less digits than its factorization.

61131504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5918 (or 5912 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 61131504 is about 7818.6638244651. The cubic root of 61131504 is about 393.9323923953.

The spelling of 61131504 in words is "sixty-one million, one hundred thirty-one thousand, five hundred four".