25837590458761 has 27 divisors (see below), whose sum is σ = 27467430146247. Its totient is φ = 24302356211760.

The previous prime is 25837590458731. The next prime is 25837590458789. The reversal of 25837590458761 is 16785409573852.

The square root of 25837590458761 is 5083069.

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

It can be written as a sum of positive squares in only one way, i.e., 840190391161 + 24997400067600 = 916619^2 + 4999740^2 .

It is not a de Polignac number, because 25837590458761 - 2⁹ = 25837590458249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25837590458731) 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, 7131543996 + ... + 7131547618.

It is a 1-persistent number, because it is pandigital, but 2⋅25837590458761 = 51675180917522 is not.

Almost surely, 2^{25837590458761} is an apocalyptic number.

25837590458761 is the 5083069-th square number.

25837590458761 is the 2541535-th centered octagonal number.

It is an amenable number.

25837590458761 is a deficient number, since it is larger than the sum of its proper divisors (1629839687486).

25837590458761 is an frugal number, since it uses more digits than its factorization.

25837590458761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7414 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 508032000, while the sum is 70.

The spelling of 25837590458761 in words is "twenty-five trillion, eight hundred thirty-seven billion, five hundred ninety million, four hundred fifty-eight thousand, seven hundred sixty-one".