25044910151121 has 81 divisors (see below), whose sum is σ = 42365450978409. Its totient is φ = 14215711417488.

The previous prime is 25044910151119. The next prime is 25044910151143. The reversal of 25044910151121 is 12115101944052.

It is a happy number.

The square root of 25044910151121 is 5004489.

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

25044910151121 is a `hidden beast` number, since 2 + 5 + 0 + 4 + 491 + 0 + 151 + 12 + 1 = 666.

It is not a de Polignac number, because 25044910151121 - 2¹ = 25044910151119 is a prime.

It is a super-2 number, since 2×25044910151121² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25044910151171) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 17550742210 + ... + 17550743636.

Almost surely, 2^{25044910151121} is an apocalyptic number.

25044910151121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

25044910151121 is the 5004489-th square number.

25044910151121 is the 2502245-th centered octagonal number.

It is an amenable number.

25044910151121 is a deficient number, since it is larger than the sum of its proper divisors (17320540827288).

25044910151121 is an frugal number, since it uses more digits than its factorization.

25044910151121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3208 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

Multiplying 25044910151121 by its sum of digits (36), we get a square (901616765440356 = 30026934²).

The spelling of 25044910151121 in words is "twenty-five trillion, forty-four billion, nine hundred ten million, one hundred fifty-one thousand, one hundred twenty-one".