57623522401 has 3 divisors (see below), whose sum is σ = 57623762451. Its totient is φ = 57623282352.

The previous prime is 57623522399. The next prime is 57623522441. The reversal of 57623522401 is 10422532675.

The square root of 57623522401 is 240049.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 39203604001 + 18419918400 = 197999^2 + 135720^2 .

It is not a de Polignac number, because 57623522401 - 2¹ = 57623522399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57623522441) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 120025 + ... + 360073.

It is an arithmetic number, because the mean of its divisors is an integer number (19207920817).

Almost surely, 2^57623522401 is an apocalyptic number.

57623522401 is the 240049-th square number.

57623522401 is the 120025-th centered octagonal number.

It is an amenable number.

57623522401 is a deficient number, since it is larger than the sum of its proper divisors (240050).

57623522401 is an frugal number, since it uses more digits than its factorization.

57623522401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480098 (or 240049 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The spelling of 57623522401 in words is "fifty-seven billion, six hundred twenty-three million, five hundred twenty-two thousand, four hundred one".