2413657424025 has 27 divisors (see below), whose sum is σ = 4323170370909. Its totient is φ = 1287271530720.

The previous prime is 2413657424023. The next prime is 2413657424027. The reversal of 2413657424025 is 5204247563142.

The square root of 2413657424025 is 1553595.

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

2413657424025 is a `hidden beast` number, since 2 + 4 + 1 + 36 + 574 + 2 + 40 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (2413657424023) and next prime (2413657424027).

It can be written as a sum of positive squares in 4 ways, for example, as 1431322711641 + 982334712384 = 1196379^2 + 991128^2 .

It is not a de Polignac number, because 2413657424025 - 2¹ = 2413657424023 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2413657424023) 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, 23252139 + ... + 23355711.

Almost surely, 2^{2413657424025} is an apocalyptic number.

2413657424025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2413657424025 is the 1553595-th square number.

2413657424025 is the 776798-th centered octagonal number.

It is an amenable number.

2413657424025 is a deficient number, since it is larger than the sum of its proper divisors (1909512946884).

2413657424025 is an frugal number, since it uses more digits than its factorization.

2413657424025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207162 (or 103581 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 2413657424025 in words is "two trillion, four hundred thirteen billion, six hundred fifty-seven million, four hundred twenty-four thousand, twenty-five".