1007716131 has 6 divisors (see below), whose sum is σ = 1455589980. Its totient is φ = 671810748.

The previous prime is 1007716109. The next prime is 1007716133. The reversal of 1007716131 is 1316177001.

It is not a de Polignac number, because 1007716131 - 2⁶ = 1007716067 is a prime.

It is a super-2 number, since 2×1007716131² = 2030983601355218322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1007716095 and 1007716104.

It is not an unprimeable number, because it can be changed into a prime (1007716133) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55984221 + ... + 55984238.

It is an arithmetic number, because the mean of its divisors is an integer number (242598330).

Almost surely, 2^1007716131 is an apocalyptic number.

1007716131 is a deficient number, since it is larger than the sum of its proper divisors (447873849).

1007716131 is a wasteful number, since it uses less digits than its factorization.

1007716131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111968465 (or 111968462 counting only the distinct ones).

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

The square root of 1007716131 is about 31744.5449014472. The cubic root of 1007716131 is about 1002.5654564715.

The spelling of 1007716131 in words is "one billion, seven million, seven hundred sixteen thousand, one hundred thirty-one".