25137578760121 has 9 divisors (see below), whose sum is σ = 26530342942383. Its totient is φ = 23814458051760.

The previous prime is 25137578760079. The next prime is 25137578760127. The reversal of 25137578760121 is 12106787573152.

The square root of 25137578760121 is 5013739.

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., 1486475462521 + 23651103297600 = 1219211^2 + 4863240^2 .

It is not a de Polignac number, because 25137578760121 - 2²⁹ = 25137041889209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25137578760127) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 95129101 + ... + 95392981.

It is an arithmetic number, because the mean of its divisors is an integer number (2947815882487).

Almost surely, 2^{25137578760121} is an apocalyptic number.

25137578760121 is the 5013739-th square number.

25137578760121 is the 2506870-th centered octagonal number.

It is an amenable number.

25137578760121 is a deficient number, since it is larger than the sum of its proper divisors (1392764182262).

25137578760121 is an frugal number, since it uses more digits than its factorization.

25137578760121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527800 (or 263900 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 55.

The spelling of 25137578760121 in words is "twenty-five trillion, one hundred thirty-seven billion, five hundred seventy-eight million, seven hundred sixty thousand, one hundred twenty-one".