2461553325 has 144 divisors (see below), whose sum is σ = 5615640576. Its totient is φ = 1000886400.

The previous prime is 2461553299. The next prime is 2461553407. The reversal of 2461553325 is 5233551642.

2461553325 is a `hidden beast` number, since 2 + 4 + 615 + 5 + 3 + 32 + 5 = 666.

It is not a de Polignac number, because 2461553325 - 2⁵ = 2461553293 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2461553325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 812764 + ... + 815786.

It is an arithmetic number, because the mean of its divisors is an integer number (38997504).

Almost surely, 2^2461553325 is an apocalyptic number.

2461553325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2461553325 is an abundant number, since it is smaller than the sum of its proper divisors (3154087251).

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

2461553325 is a wasteful number, since it uses less digits than its factorization.

2461553325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3104 (or 3096 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 2461553325 is about 49614.0436267797. The cubic root of 2461553325 is about 1350.2154800077.

The spelling of 2461553325 in words is "two billion, four hundred sixty-one million, five hundred fifty-three thousand, three hundred twenty-five".