657011652 has 108 divisors (see below), whose sum is σ = 1766476656. Its totient is φ = 188474880.

The previous prime is 657011639. The next prime is 657011653. The reversal of 657011652 is 256110756.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (657011653) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6773268 + ... + 6773364.

Almost surely, 2^657011652 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 657011652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883238328).

657011652 is an abundant number, since it is smaller than the sum of its proper divisors (1109465004).

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

657011652 is a wasteful number, since it uses less digits than its factorization.

657011652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 657011652 is about 25632.2385288527. The cubic root of 657011652 is about 869.3427245939.

Multiplying 657011652 by its sum of digits (33), we get a square (21681384516 = 147246²).

657011652 divided by its sum of digits (33) gives a square (19909444 = 4462²).

The spelling of 657011652 in words is "six hundred fifty-seven million, eleven thousand, six hundred fifty-two".