253298810944 has 63 divisors (see below), whose sum is σ = 512734495357. Its totient is φ = 124155110144.

The previous prime is 253298810929. The next prime is 253298810951. The reversal of 253298810944 is 449018892352.

It is a happy number.

The square root of 253298810944 is 503288.

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., 182602382400 + 70696428544 = 427320^2 + 265888^2 .

It is a super-2 number, since 2×253298810944² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 213393519 + ... + 213394705.

Almost surely, 2^253298810944 is an apocalyptic number.

253298810944 is the 503288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253298810944

253298810944 is an abundant number, since it is smaller than the sum of its proper divisors (259435684413).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253298810944 is an frugal number, since it uses more digits than its factorization.

253298810944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 55.

The spelling of 253298810944 in words is "two hundred fifty-three billion, two hundred ninety-eight million, eight hundred ten thousand, nine hundred forty-four".