25749901125 has 192 divisors, whose sum is σ = 52281028800. Its totient is φ = 12105676800.

The previous prime is 25749901097. The next prime is 25749901127. The reversal of 25749901125 is 52110994752.

It can be written as a sum of positive squares in 32 ways, for example, as 25217122401 + 532778724 = 158799^2 + 23082^2 .

It is not a de Polignac number, because 25749901125 - 2¹⁵ = 25749868357 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25749901127) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46229347 + ... + 46229903.

It is an arithmetic number, because the mean of its divisors is an integer number (272297025).

Almost surely, 2^25749901125 is an apocalyptic number.

25749901125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

25749901125 is an abundant number, since it is smaller than the sum of its proper divisors (26531127675).

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

25749901125 is a wasteful number, since it uses less digits than its factorization.

25749901125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 25749901125 in words is "twenty-five billion, seven hundred forty-nine million, nine hundred one thousand, one hundred twenty-five".