981965007031 has 4 divisors (see below), whose sum is σ = 981967662064. Its totient is φ = 981962352000.

The previous prime is 981965006999. The next prime is 981965007053. The reversal of 981965007031 is 130700569189.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 130700569189 = 23 ⋅5682633443.

It is a 7-Lehmer number, since φ(981965007031) divides (981965007031-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 981965007031 - 2⁵ = 981965006999 is a prime.

It is a super-2 number, since 2×981965007031² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981965007931) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 661290 + ... + 1549591.

It is an arithmetic number, because the mean of its divisors is an integer number (245491915516).

Almost surely, 2^981965007031 is an apocalyptic number.

981965007031 is the 443163-rd centered decagonal number.

981965007031 is a deficient number, since it is larger than the sum of its proper divisors (2655033).

981965007031 is a wasteful number, since it uses less digits than its factorization.

981965007031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655032.

The product of its (nonzero) digits is 408240, while the sum is 49.

The spelling of 981965007031 in words is "nine hundred eighty-one billion, nine hundred sixty-five million, seven thousand, thirty-one".