1007116731 has 24 divisors (see below), whose sum is σ = 1488175104. Its totient is φ = 656132400.

The previous prime is 1007116673. The next prime is 1007116739. The reversal of 1007116731 is 1376117001.

It is not a de Polignac number, because 1007116731 - 2⁹ = 1007116219 is a prime.

It is a super-2 number, since 2×1007116731² = 2028568219720252722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1007116695 and 1007116704.

It is not an unprimeable number, because it can be changed into a prime (1007116739) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70006 + ... + 83156.

It is an arithmetic number, because the mean of its divisors is an integer number (62007296).

Almost surely, 2^1007116731 is an apocalyptic number.

1007116731 is a deficient number, since it is larger than the sum of its proper divisors (481058373).

1007116731 is a wasteful number, since it uses less digits than its factorization.

1007116731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13351 (or 13348 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 1007116731 is about 31735.1025049550. The cubic root of 1007116731 is about 1002.3666382715.

The spelling of 1007116731 in words is "one billion, seven million, one hundred sixteen thousand, seven hundred thirty-one".