52958961 has 48 divisors (see below), whose sum is σ = 91068480. Its totient is φ = 30159360.

The previous prime is 52958911. The next prime is 52958981. The reversal of 52958961 is 16985925.

52958961 is a `hidden beast` number, since 5 + 2 + 9 + 589 + 61 = 666.

It is not a de Polignac number, because 52958961 - 2¹⁵ = 52926193 is a prime.

Its product of digits (194400) is a multiple of the sum of its prime divisors (648).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (52958911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85525 + ... + 86141.

It is an arithmetic number, because the mean of its divisors is an integer number (1897260).

Almost surely, 2^52958961 is an apocalyptic number.

52958961 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

52958961 is a deficient number, since it is larger than the sum of its proper divisors (38109519).

52958961 is a wasteful number, since it uses less digits than its factorization.

52958961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 648 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 52958961 is about 7277.2907733579. The cubic root of 52958961 is about 375.5315980533.

The spelling of 52958961 in words is "fifty-two million, nine hundred fifty-eight thousand, nine hundred sixty-one".