1361520251631 has 48 divisors (see below), whose sum is σ = 2015898917760. Its totient is φ = 885309201600.

The previous prime is 1361520251591. The next prime is 1361520251657.

1361520251631 is a `hidden beast` number, since 1 + 3 + 6 + 15 + 2 + 0 + 2 + 5 + 1 + 631 = 666.

1361520251631 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1361520251631 - 2¹⁹ = 1361519727343 is a prime.

It is a super-2 number, since 2×1361520251631² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361520251831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17370976 + ... + 17449178.

It is an arithmetic number, because the mean of its divisors is an integer number (41997894120).

Almost surely, 2^{1361520251631} is an apocalyptic number.

1361520251631 is a deficient number, since it is larger than the sum of its proper divisors (654378666129).

1361520251631 is a wasteful number, since it uses less digits than its factorization.

1361520251631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78596 (or 78593 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 1361520251631 in words is "one trillion, three hundred sixty-one billion, five hundred twenty million, two hundred fifty-one thousand, six hundred thirty-one".