1007961331 has 16 divisors (see below), whose sum is σ = 1153510848. Its totient is φ = 872524800.

The previous prime is 1007961329. The next prime is 1007961359. The reversal of 1007961331 is 1331697001.

It is a cyclic number.

It is not a de Polignac number, because 1007961331 - 2¹ = 1007961329 is a prime.

It is a super-2 number, since 2×1007961331² = 2031972089582583122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1007961293 and 1007961302.

It is not an unprimeable number, because it can be changed into a prime (1007961371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53986 + ... + 70216.

It is an arithmetic number, because the mean of its divisors is an integer number (72094428).

Almost surely, 2^1007961331 is an apocalyptic number.

1007961331 is a deficient number, since it is larger than the sum of its proper divisors (145549517).

1007961331 is a wasteful number, since it uses less digits than its factorization.

1007961331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16542.

The product of its (nonzero) digits is 3402, while the sum is 31.

The square root of 1007961331 is about 31748.4067474259. The cubic root of 1007961331 is about 1002.6467654521.

The spelling of 1007961331 in words is "one billion, seven million, nine hundred sixty-one thousand, three hundred thirty-one".