114951512025 has 81 divisors (see below), whose sum is σ = 239579972541. Its totient is φ = 52532988480.

The previous prime is 114951512017. The next prime is 114951512059. The reversal of 114951512025 is 520215159411.

The square root of 114951512025 is 339045.

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

114951512025 is a `hidden beast` number, since 1 + 14 + 9 + 515 + 120 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13277261529 + 101674250496 = 115227^2 + 318864^2 .

It is not a de Polignac number, because 114951512025 - 2³ = 114951512017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 35598111 + ... + 35601339.

Almost surely, 2^114951512025 is an apocalyptic number.

114951512025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114951512025 is the 339045-th square number.

114951512025 is the 169523-rd centered octagonal number.

It is an amenable number.

114951512025 is an abundant number, since it is smaller than the sum of its proper divisors (124628460516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114951512025 is an frugal number, since it uses more digits than its factorization.

114951512025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6488 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

Multiplying 114951512025 by its sum of digits (36), we get a square (4138254432900 = 2034270²).

The spelling of 114951512025 in words is "one hundred fourteen billion, nine hundred fifty-one million, five hundred twelve thousand, twenty-five".