2415615350625 has 405 divisors, whose sum is σ = 4934910049069. Its totient is φ = 1137941376000.

The previous prime is 2415615350597. The next prime is 2415615350639. The reversal of 2415615350625 is 5260535165142.

The square root of 2415615350625 is 1554225.

It is a perfect power (a square), and thus also a powerful number.

2415615350625 is a `hidden beast` number, since 2 + 4 + 1 + 5 + 6 + 15 + 3 + 5 + 0 + 625 = 666.

2415615350625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 22 ways, for example, as 2278629497169 + 136985853456 = 1509513^2 + 370116^2 .

It is not a de Polignac number, because 2415615350625 - 2¹¹ = 2415615348577 is a prime.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 45577648099 + ... + 45577648151.

Almost surely, 2^{2415615350625} is an apocalyptic number.

2415615350625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2415615350625 is the 1554225-th square number.

2415615350625 is the 777113-rd centered octagonal number.

It is an amenable number.

2415615350625 is an abundant number, since it is smaller than the sum of its proper divisors (2519294698444).

2415615350625 is an equidigital number, since it uses as much as digits as its factorization.

2415615350625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 2415615350625 in words is "two trillion, four hundred fifteen billion, six hundred fifteen million, three hundred fifty thousand, six hundred twenty-five".