25346089560100 has 81 divisors (see below), whose sum is σ = 55256632523001. Its totient is φ = 10091534515200.

The previous prime is 25346089560067. The next prime is 25346089560101. The reversal of 25346089560100 is 106598064352.

The square root of 25346089560100 is 5034490.

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 1312642238436 + 24033447321664 = 1145706^2 + 4902392^2 .

It is a super-2 number, since 2×25346089560100² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25346089560101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12133119856 + ... + 12133121944.

Almost surely, 2^{25346089560100} is an apocalyptic number.

25346089560100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25346089560100 is the 5034490-th square number.

It is an amenable number.

25346089560100 is an abundant number, since it is smaller than the sum of its proper divisors (29910542962901).

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

25346089560100 is an frugal number, since it uses more digits than its factorization.

25346089560100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4674 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

The spelling of 25346089560100 in words is "twenty-five trillion, three hundred forty-six billion, eighty-nine million, five hundred sixty thousand, one hundred".