25257453100 has 72 divisors (see below), whose sum is σ = 60158524608. Its totient is φ = 9128116800.

The previous prime is 25257453097. The next prime is 25257453101. The reversal of 25257453100 is 135475252.

It is a super-2 number, since 2×25257453100² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25257453101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108867 + ... + 249733.

It is an arithmetic number, because the mean of its divisors is an integer number (835535064).

Almost surely, 2^25257453100 is an apocalyptic number.

25257453100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25257453100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30079262304).

25257453100 is an abundant number, since it is smaller than the sum of its proper divisors (34901071508).

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

25257453100 is a wasteful number, since it uses less digits than its factorization.

25257453100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141055 (or 141048 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 34.

The spelling of 25257453100 in words is "twenty-five billion, two hundred fifty-seven million, four hundred fifty-three thousand, one hundred".