61506601571008 has 84 divisors (see below), whose sum is σ = 138782596216320. Its totient is φ = 26993492753920.

The previous prime is 61506601570987. The next prime is 61506601571017. The reversal of 61506601571008 is 80017510660516.

61506601571008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61506601571008² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136714816 + ... + 137163967.

It is an arithmetic number, because the mean of its divisors is an integer number (1652173764480).

Almost surely, 2^{61506601571008} is an apocalyptic number.

It is an amenable number.

61506601571008 is an abundant number, since it is smaller than the sum of its proper divisors (77275994645312).

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

61506601571008 is a wasteful number, since it uses less digits than its factorization.

61506601571008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273878846 (or 273878825 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 46.

The spelling of 61506601571008 in words is "sixty-one trillion, five hundred six billion, six hundred one million, five hundred seventy-one thousand, eight".