125319540025 has 27 divisors (see below), whose sum is σ = 157174253479. Its totient is φ = 99121400000.

The previous prime is 125319540023. The next prime is 125319540041. The reversal of 125319540025 is 520045913521.

The square root of 125319540025 is 354005.

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

It can be written as a sum of positive squares in 13 ways, for example, as 515607849 + 124803932176 = 22707^2 + 353276^2 .

It is not a de Polignac number, because 125319540025 - 2¹ = 125319540023 is a prime.

It is a super-2 number, since 2×125319540025² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125319540023) 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, 178772175 + ... + 178772875.

Almost surely, 2^125319540025 is an apocalyptic number.

125319540025 is the 354005-th square number.

125319540025 is the 177003-rd centered octagonal number.

It is an amenable number.

125319540025 is a deficient number, since it is larger than the sum of its proper divisors (31854713454).

125319540025 is an frugal number, since it uses more digits than its factorization.

125319540025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 37.

The spelling of 125319540025 in words is "one hundred twenty-five billion, three hundred nineteen million, five hundred forty thousand, twenty-five".