125621523 has 18 divisors (see below), whose sum is σ = 188435884. Its totient is φ = 83631204.

The previous prime is 125621497. The next prime is 125621537. The reversal of 125621523 is 325126521.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

125621523 is a `hidden beast` number, since 12 + 5 + 621 + 5 + 23 = 666.

It is not a de Polignac number, because 125621523 - 2⁸ = 125621267 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125621543) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 174358 + ... + 175076.

Almost surely, 2^125621523 is an apocalyptic number.

125621523 is a deficient number, since it is larger than the sum of its proper divisors (62814361).

125621523 is an frugal number, since it uses more digits than its factorization.

125621523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 722 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 125621523 is about 11208.1007757782. The cubic root of 125621523 is about 500.8273276363.

Multiplying 125621523 by its sum of digits (27), we get a square (3391781121 = 58239²).

125621523 divided by its sum of digits (27) gives a square (4652649 = 2157²).

The spelling of 125621523 in words is "one hundred twenty-five million, six hundred twenty-one thousand, five hundred twenty-three".