61767648713031 has 64 divisors (see below), whose sum is σ = 89691003924480. Its totient is φ = 37716211491840.

The previous prime is 61767648713021. The next prime is 61767648713033. The reversal of 61767648713031 is 13031784676716.

It is a happy number.

It is not a de Polignac number, because 61767648713031 - 2¹⁸ = 61767648450887 is a prime.

It is a super-2 number, since 2×61767648713031² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61767648713033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206661760 + ... + 206960426.

It is an arithmetic number, because the mean of its divisors is an integer number (1401421936320).

Almost surely, 2^{61767648713031} is an apocalyptic number.

61767648713031 is a deficient number, since it is larger than the sum of its proper divisors (27923355211449).

61767648713031 is a wasteful number, since it uses less digits than its factorization.

61767648713031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300344.

The product of its (nonzero) digits is 21337344, while the sum is 60.

The spelling of 61767648713031 in words is "sixty-one trillion, seven hundred sixty-seven billion, six hundred forty-eight million, seven hundred thirteen thousand, thirty-one".