25513413310890 has 48 divisors (see below), whose sum is σ = 66335210143488. Its totient is φ = 6803542469088.

The previous prime is 25513413310873. The next prime is 25513413310921. The reversal of 25513413310890 is 9801331431552.

25513413310890 is a `hidden beast` number, since 2 + 5 + 513 + 4 + 1 + 33 + 10 + 8 + 90 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20714079 + ... + 21911181.

It is an arithmetic number, because the mean of its divisors is an integer number (1381983544656).

Almost surely, 2^{25513413310890} is an apocalyptic number.

25513413310890 is an abundant number, since it is smaller than the sum of its proper divisors (40821796832598).

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

25513413310890 is a wasteful number, since it uses less digits than its factorization.

25513413310890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433923 (or 1433920 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 25513413310890 in words is "twenty-five trillion, five hundred thirteen billion, four hundred thirteen million, three hundred ten thousand, eight hundred ninety".