61318821024 has 72 divisors (see below), whose sum is σ = 184632788340. Its totient is φ = 19237275648.

The previous prime is 61318821017. The next prime is 61318821037. The reversal of 61318821024 is 42012881316.

61318821024 is a `hidden beast` number, since 613 + 1 + 8 + 8 + 2 + 10 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61042596624 + 276224400 = 247068^2 + 16620^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 61318821024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6257239 + ... + 6267030.

Almost surely, 2^61318821024 is an apocalyptic number.

It is an amenable number.

61318821024 is an abundant number, since it is smaller than the sum of its proper divisors (123313967316).

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

61318821024 is a wasteful number, since it uses less digits than its factorization.

61318821024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12524302 (or 12524291 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 61318821024 in words is "sixty-one billion, three hundred eighteen million, eight hundred twenty-one thousand, twenty-four".