121574255625 has 45 divisors (see below), whose sum is σ = 219486041203. Its totient is φ = 64825656000.

The previous prime is 121574255603. The next prime is 121574255633. The reversal of 121574255625 is 526552475121.

The square root of 121574255625 is 348675.

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

121574255625 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 74 + 2 + 556 + 25 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 21181600521 + 100392655104 = 145539^2 + 316848^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 121574255625 - 2⁷ = 121574255497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 26148301 + ... + 26152949.

Almost surely, 2^121574255625 is an apocalyptic number.

121574255625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

121574255625 is the 348675-th square number.

121574255625 is the 174338-th centered octagonal number.

It is an amenable number.

121574255625 is a deficient number, since it is larger than the sum of its proper divisors (97911785578).

121574255625 is an frugal number, since it uses more digits than its factorization.

121574255625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9324 (or 4657 counting only the distinct ones).

The product of its digits is 840000, while the sum is 45.

The spelling of 121574255625 in words is "one hundred twenty-one billion, five hundred seventy-four million, two hundred fifty-five thousand, six hundred twenty-five".