58512961 has 16 divisors (see below), whose sum is σ = 64471680. Its totient is φ = 52778880.

The previous prime is 58512941. The next prime is 58512977. The reversal of 58512961 is 16921585.

58512961 = T₁₀₁₄ + T₁₀₁₅ + ... + T₁₁₁₆.

It is a cyclic number.

It is not a de Polignac number, because 58512961 - 2⁷ = 58512833 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 58512961.

It is not an unprimeable number, because it can be changed into a prime (58512941) 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, 118926 + ... + 119416.

It is an arithmetic number, because the mean of its divisors is an integer number (4029480).

Almost surely, 2^58512961 is an apocalyptic number.

It is an amenable number.

58512961 is a deficient number, since it is larger than the sum of its proper divisors (5958719).

58512961 is a wasteful number, since it uses less digits than its factorization.

58512961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696.

The product of its digits is 21600, while the sum is 37.

The square root of 58512961 is about 7649.3765105399. The cubic root of 58512961 is about 388.2254707687.

The spelling of 58512961 in words is "fifty-eight million, five hundred twelve thousand, nine hundred sixty-one".