253587780625 has 15 divisors (see below), whose sum is σ = 316899023133. Its totient is φ = 202860153000.

The previous prime is 253587780613. The next prime is 253587780629. The reversal of 253587780625 is 526087785352.

The square root of 253587780625 is 503575.

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

It can be written as a sum of positive squares in 2 ways, for example, as 19881282001 + 233706498624 = 141001^2 + 483432^2 .

It is not a de Polignac number, because 253587780625 - 2¹³ = 253587772433 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 253587780625.

It is not an unprimeable number, because it can be changed into a prime (253587780629) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 12579304 + ... + 12599446.

Almost surely, 2^253587780625 is an apocalyptic number.

253587780625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

253587780625 is the 503575-th square number.

253587780625 is the 251788-th centered octagonal number.

It is an amenable number.

253587780625 is a deficient number, since it is larger than the sum of its proper divisors (63311242508).

253587780625 is an frugal number, since it uses more digits than its factorization.

253587780625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40306 (or 20148 counting only the distinct ones).

The product of its (nonzero) digits is 28224000, while the sum is 58.

The spelling of 253587780625 in words is "two hundred fifty-three billion, five hundred eighty-seven million, seven hundred eighty thousand, six hundred twenty-five".