52877462401 has 9 divisors (see below), whose sum is σ = 53163910531. Its totient is φ = 52592553112.

The previous prime is 52877462389. The next prime is 52877462411. The reversal of 52877462401 is 10426477825.

The square root of 52877462401 is 229951.

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

52877462401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 104346225 + 52773116176 = 10215^2 + 229724^2 .

It is not a de Polignac number, because 52877462401 - 2¹¹ = 52877460353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52877462411) 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, 52198371 + ... + 52199383.

Almost surely, 2^52877462401 is an apocalyptic number.

52877462401 is the 229951-st square number.

52877462401 is the 114976-th centered octagonal number.

It is an amenable number.

52877462401 is a deficient number, since it is larger than the sum of its proper divisors (286448130).

52877462401 is an frugal number, since it uses more digits than its factorization.

52877462401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 46.

The spelling of 52877462401 in words is "fifty-two billion, eight hundred seventy-seven million, four hundred sixty-two thousand, four hundred one".