52261616225 has 48 divisors (see below), whose sum is σ = 79796476032. Its totient is φ = 33064450560.

The previous prime is 52261616177. The next prime is 52261616233.

It is a happy number.

52261616225 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52261616225 - 2⁸ = 52261615969 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6736949 + ... + 6744701.

It is an arithmetic number, because the mean of its divisors is an integer number (1662426584).

Almost surely, 2^52261616225 is an apocalyptic number.

It is an amenable number.

52261616225 is a deficient number, since it is larger than the sum of its proper divisors (27534859807).

52261616225 is a wasteful number, since it uses less digits than its factorization.

52261616225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10746 (or 10741 counting only the distinct ones).

The product of its digits is 86400, while the sum is 38.

The spelling of 52261616225 in words is "fifty-two billion, two hundred sixty-one million, six hundred sixteen thousand, two hundred twenty-five".