2523957121 has 9 divisors (see below), whose sum is σ = 2936440899. Its totient is φ = 2163090384.

The previous prime is 2523957097. The next prime is 2523957127. The reversal of 2523957121 is 1217593252.

It is a happy number.

The square root of 2523957121 is 50239.

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

It can be written as a sum of positive squares in only one way, i.e., 2356617025 + 167340096 = 48545^2 + 12936^2 .

It is not a de Polignac number, because 2523957121 - 2¹⁵ = 2523924353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2523957127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 348085 + ... + 355261.

It is an arithmetic number, because the mean of its divisors is an integer number (326271211).

Almost surely, 2^2523957121 is an apocalyptic number.

2523957121 is the 50239-th square number.

2523957121 is the 25120-th centered octagonal number.

It is an amenable number.

2523957121 is a deficient number, since it is larger than the sum of its proper divisors (412483778).

2523957121 is an frugal number, since it uses more digits than its factorization.

2523957121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14368 (or 7184 counting only the distinct ones).

The product of its digits is 37800, while the sum is 37.

The cubic root of 2523957121 is about 1361.5303421050.

The spelling of 2523957121 in words is "two billion, five hundred twenty-three million, nine hundred fifty-seven thousand, one hundred twenty-one".