53772972100 has 27 divisors (see below), whose sum is σ = 116692381687. Its totient is φ = 21508261280.

The previous prime is 53772972047. The next prime is 53772972103. The reversal of 53772972100 is 127927735.

The square root of 53772972100 is 231890.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 489559876 + 53283412224 = 22126^2 + 230832^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53772972103) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2307306 + ... + 2330494.

Almost surely, 2^53772972100 is an apocalyptic number.

53772972100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53772972100 is the 231890-th square number.

It is an amenable number.

53772972100 is an abundant number, since it is smaller than the sum of its proper divisors (62919409587).

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

53772972100 is an frugal number, since it uses more digits than its factorization.

53772972100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46392 (or 23196 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 43.

The spelling of 53772972100 in words is "fifty-three billion, seven hundred seventy-two million, nine hundred seventy-two thousand, one hundred".