61435312131204 has 108 divisors (see below), whose sum is σ = 172856664897280. Its totient is φ = 18381105943200.

The previous prime is 61435312131187. The next prime is 61435312131211. The reversal of 61435312131204 is 40213121353416.

61435312131204 is a `hidden beast` number, since 6 + 1 + 4 + 3 + 5 + 312 + 131 + 204 = 666.

It is a super-2 number, since 2×61435312131204² (a number of 28 digits) contains 22 as substring.

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

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, 88919212 + ... + 89607459.

Almost surely, 2^{61435312131204} is an apocalyptic number.

It is an amenable number.

61435312131204 is an abundant number, since it is smaller than the sum of its proper divisors (111421352766076).

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

61435312131204 is a wasteful number, since it uses less digits than its factorization.

61435312131204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178526782 (or 178526766 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

It can be divided in two parts, 61435312 and 131204, that added together give a palindrome (61566516).

The spelling of 61435312131204 in words is "sixty-one trillion, four hundred thirty-five billion, three hundred twelve million, one hundred thirty-one thousand, two hundred four".