261874814025 has 96 divisors (see below), whose sum is σ = 501849129600. Its totient is φ = 119498956800.

The previous prime is 261874814021. The next prime is 261874814039. The reversal of 261874814025 is 520418478162.

It is a happy number.

It is not a de Polignac number, because 261874814025 - 2² = 261874814021 is a prime.

It is not an unprimeable number, because it can be changed into a prime (261874814021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4020921 + ... + 4085529.

It is an arithmetic number, because the mean of its divisors is an integer number (5227595100).

Almost surely, 2^261874814025 is an apocalyptic number.

261874814025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

261874814025 is a deficient number, since it is larger than the sum of its proper divisors (239974315575).

261874814025 is a wasteful number, since it uses less digits than its factorization.

261874814025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64684 (or 64645 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 261874814025 in words is "two hundred sixty-one billion, eight hundred seventy-four million, eight hundred fourteen thousand, twenty-five".