653051952 has 120 divisors (see below), whose sum is σ = 2156211200. Its totient is φ = 180558720.

The previous prime is 653051947. The next prime is 653051953. The reversal of 653051952 is 259150356.

653051952 is a `hidden beast` number, since 65 + 30 + 519 + 52 = 666.

It is a super-2 number, since 2×653051952² = 852953704022020608, 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 (653051953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20799 + ... + 41697.

Almost surely, 2^653051952 is an apocalyptic number.

653051952 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653051952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078105600).

653051952 is an abundant number, since it is smaller than the sum of its proper divisors (1503159248).

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

653051952 is a wasteful number, since it uses less digits than its factorization.

653051952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20951 (or 20942 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 653051952 is about 25554.8811775754. The cubic root of 653051952 is about 867.5927428966.

The spelling of 653051952 in words is "six hundred fifty-three million, fifty-one thousand, nine hundred fifty-two".