1010031961 has 9 divisors (see below), whose sum is σ = 1028836029. Its totient is φ = 991567200.

The previous prime is 1010031943. The next prime is 1010031977. The reversal of 1010031961 is 1691300101.

It is a happy number.

The square root of 1010031961 is 31781.

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

It can be written as a sum of positive squares in 4 ways, for example, as 544335561 + 465696400 = 23331^2 + 21580^2 .

It is not a de Polignac number, because 1010031961 - 2¹¹ = 1010029913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010031461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1938381 + ... + 1938901.

Almost surely, 2^1010031961 is an apocalyptic number.

1010031961 is the 31781-st square number.

1010031961 is the 15891-st centered octagonal number.

It is an amenable number.

1010031961 is a deficient number, since it is larger than the sum of its proper divisors (18804068).

1010031961 is an frugal number, since it uses more digits than its factorization.

1010031961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

The cubic root of 1010031961 is about 1003.3328666593.

The spelling of 1010031961 in words is "one billion, ten million, thirty-one thousand, nine hundred sixty-one".