1031607893761 has 9 divisors (see below), whose sum is σ = 1033754419201. Its totient is φ = 1029465822532.

The previous prime is 1031607893753. The next prime is 1031607893773. The reversal of 1031607893761 is 1673987061301.

The square root of 1031607893761 is 1015681.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 1031607893761 - 2³ = 1031607893753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1031607893699 and 1031607893708.

It is not an unprimeable number, because it can be changed into a prime (1031607893731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 754650300 + ... + 754651666.

Almost surely, 2^{1031607893761} is an apocalyptic number.

1031607893761 is the 1015681-st square number.

1031607893761 is the 507841-st centered octagonal number.

It is an amenable number.

1031607893761 is a deficient number, since it is larger than the sum of its proper divisors (2146525440).

1031607893761 is an frugal number, since it uses more digits than its factorization.

1031607893761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 52.

The spelling of 1031607893761 in words is "one trillion, thirty-one billion, six hundred seven million, eight hundred ninety-three thousand, seven hundred sixty-one".