25198070121 has 27 divisors (see below), whose sum is σ = 42345216381. Its totient is φ = 14396992344.

The previous prime is 25198070119. The next prime is 25198070197. The reversal of 25198070121 is 12107089152.

It is a happy number.

The square root of 25198070121 is 158739.

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

It is not a de Polignac number, because 25198070121 - 2¹ = 25198070119 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (25198078121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3329740 + ... + 3337298.

Almost surely, 2^25198070121 is an apocalyptic number.

25198070121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

25198070121 is the 158739-th square number.

25198070121 is the 79370-th centered octagonal number.

It is an amenable number.

25198070121 is a deficient number, since it is larger than the sum of its proper divisors (17147146260).

25198070121 is an frugal number, since it uses more digits than its factorization.

25198070121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15138 (or 7569 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

Multiplying 25198070121 by its sum of digits (36), we get a square (907130524356 = 952434²).

The spelling of 25198070121 in words is "twenty-five billion, one hundred ninety-eight million, seventy thousand, one hundred twenty-one".