261772525 has 48 divisors (see below), whose sum is σ = 388768768. Its totient is φ = 171072000.

The previous prime is 261772487. The next prime is 261772529. The reversal of 261772525 is 525277162.

It is not a de Polignac number, because 261772525 - 2¹³ = 261764333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261772529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395695 + ... + 396355.

Almost surely, 2^261772525 is an apocalyptic number.

261772525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

261772525 is a deficient number, since it is larger than the sum of its proper divisors (126996243).

261772525 is a wasteful number, since it uses less digits than its factorization.

261772525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 777 counting only the distinct ones).

The product of its digits is 58800, while the sum is 37.

The square root of 261772525 is about 16179.3858041645. The cubic root of 261772525 is about 639.6975499623.

The spelling of 261772525 in words is "two hundred sixty-one million, seven hundred seventy-two thousand, five hundred twenty-five".