657812052 has 72 divisors (see below), whose sum is σ = 1759028544. Its totient is φ = 206845056.

The previous prime is 657812041. The next prime is 657812069. The reversal of 657812052 is 250218756.

It is a happy number.

657812052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 657811998 and 657812016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55003 + ... + 65885.

It is an arithmetic number, because the mean of its divisors is an integer number (24430952).

Almost surely, 2^657812052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 657812052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879514272).

657812052 is an abundant number, since it is smaller than the sum of its proper divisors (1101216492).

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

657812052 is a wasteful number, since it uses less digits than its factorization.

657812052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10989 (or 10984 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 657812052 is about 25647.8469271789. The cubic root of 657812052 is about 869.6956049655.

The spelling of 657812052 in words is "six hundred fifty-seven million, eight hundred twelve thousand, fifty-two".