2115577134825 has 192 divisors, whose sum is σ = 4404060979200. Its totient is φ = 870529363200.

The previous prime is 2115577134809. The next prime is 2115577134841. The reversal of 2115577134825 is 5284317755112.

It is an interprime number because it is at equal distance from previous prime (2115577134809) and next prime (2115577134841).

It is not a de Polignac number, because 2115577134825 - 2⁴ = 2115577134809 is a prime.

It is a super-2 number, since 2×2115577134825² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 247055994 + ... + 247064556.

It is an arithmetic number, because the mean of its divisors is an integer number (22937817600).

Almost surely, 2^{2115577134825} is an apocalyptic number.

2115577134825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2115577134825 is an abundant number, since it is smaller than the sum of its proper divisors (2288483844375).

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

2115577134825 is a wasteful number, since it uses less digits than its factorization.

2115577134825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9012 (or 9007 counting only the distinct ones).

The product of its digits is 2352000, while the sum is 51.

The spelling of 2115577134825 in words is "two trillion, one hundred fifteen billion, five hundred seventy-seven million, one hundred thirty-four thousand, eight hundred twenty-five".