1525200025251 has 64 divisors (see below), whose sum is σ = 2460328473600. Its totient is φ = 822003227136.

The previous prime is 1525200025229. The next prime is 1525200025273.

1525200025251 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1525200025229) and next prime (1525200025273).

It is not a de Polignac number, because 1525200025251 - 2⁶ = 1525200025187 is a prime.

It is a super-2 number, since 2×1525200025251² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1525200035251) 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 63 ways as a sum of consecutive naturals, for example, 7288260 + ... + 7494606.

It is an arithmetic number, because the mean of its divisors is an integer number (38442632400).

Almost surely, 2^{1525200025251} is an apocalyptic number.

1525200025251 is a deficient number, since it is larger than the sum of its proper divisors (935128448349).

1525200025251 is a wasteful number, since it uses less digits than its factorization.

1525200025251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206668.

The product of its (nonzero) digits is 10000, while the sum is 30.

It can be divided in two parts, 15252000 and 25251, that added together give a palindrome (15277251).

The spelling of 1525200025251 in words is "one trillion, five hundred twenty-five billion, two hundred million, twenty-five thousand, two hundred fifty-one".