1253368980 has 72 divisors (see below), whose sum is σ = 3933001800. Its totient is φ = 322705152.

The previous prime is 1253368943. The next prime is 1253369017. The reversal of 1253368980 is 898633521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1253368943) and next prime (1253369017).

It can be written as a sum of positive squares in 4 ways, for example, as 545596164 + 707772816 = 23358^2 + 26604^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114835 + ... + 125274.

It is an arithmetic number, because the mean of its divisors is an integer number (54625025).

Almost surely, 2^1253368980 is an apocalyptic number.

1253368980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1253368980 is an abundant number, since it is smaller than the sum of its proper divisors (2679632820).

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

1253368980 is a wasteful number, since it uses less digits than its factorization.

1253368980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240153 (or 240148 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1253368980 is about 35402.9515718676. The cubic root of 1253368980 is about 1078.1842431969.

The spelling of 1253368980 in words is "one billion, two hundred fifty-three million, three hundred sixty-eight thousand, nine hundred eighty".