2624513401225 has 27 divisors (see below), whose sum is σ = 3434897023893. Its totient is φ = 1988988251040.

The previous prime is 2624513401201. The next prime is 2624513401253. The reversal of 2624513401225 is 5221043154262.

The square root of 2624513401225 is 1620035.

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

It can be written as a sum of positive squares in 4 ways, for example, as 196202044809 + 2428311356416 = 442947^2 + 1558304^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2624513401225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 153894799 + ... + 153911851.

Almost surely, 2^{2624513401225} is an apocalyptic number.

2624513401225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2624513401225 is the 1620035-th square number.

2624513401225 is the 810018-th centered octagonal number.

It is an amenable number.

2624513401225 is a deficient number, since it is larger than the sum of its proper divisors (810383622668).

2624513401225 is an frugal number, since it uses more digits than its factorization.

2624513401225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34154 (or 17077 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 2624513401225 its reverse (5221043154262), we get a palindrome (7845556555487).

The spelling of 2624513401225 in words is "two trillion, six hundred twenty-four billion, five hundred thirteen million, four hundred one thousand, two hundred twenty-five".