251201411125 has 128 divisors (see below), whose sum is σ = 380241838080. Its totient is φ = 162037612800.

The previous prime is 251201411117. The next prime is 251201411129. The reversal of 251201411125 is 521114102152.

It is not a de Polignac number, because 251201411125 - 2³ = 251201411117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 251201411125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251201411129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 413840572 + ... + 413841178.

It is an arithmetic number, because the mean of its divisors is an integer number (2970639360).

Almost surely, 2^251201411125 is an apocalyptic number.

251201411125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

251201411125 is a deficient number, since it is larger than the sum of its proper divisors (129040426955).

251201411125 is a wasteful number, since it uses less digits than its factorization.

251201411125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 25.

Adding to 251201411125 its reverse (521114102152), we get a palindrome (772315513277).

The spelling of 251201411125 in words is "two hundred fifty-one billion, two hundred one million, four hundred eleven thousand, one hundred twenty-five".