1053116964 has 60 divisors (see below), whose sum is σ = 2756182044. Its totient is φ = 350640576.

The previous prime is 1053116963. The next prime is 1053117007. The reversal of 1053116964 is 4696113501.

1053116964 is a `hidden beast` number, since 1 + 0 + 531 + 1 + 69 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 952956900 + 100160064 = 30870^2 + 10008^2 .

It is a super-2 number, since 2×1053116964² = 2218110679729154592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1053116963) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 469654 + ... + 471890.

Almost surely, 2^1053116964 is an apocalyptic number.

It is an amenable number.

1053116964 is an abundant number, since it is smaller than the sum of its proper divisors (1703065080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1053116964 is a wasteful number, since it uses less digits than its factorization.

1053116964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3706 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1053116964 is about 32451.7636500699. The cubic root of 1053116964 is about 1017.4011000429.

It can be divided in two parts, 10531 and 16964, that added together give a triangular number (27495 = T₂₃₄).

The spelling of 1053116964 in words is "one billion, fifty-three million, one hundred sixteen thousand, nine hundred sixty-four".