1253868100 has 27 divisors (see below), whose sum is σ = 2721662391. Its totient is φ = 501405600.

The previous prime is 1253868073. The next prime is 1253868107. The reversal of 1253868100 is 18683521.

The square root of 1253868100 is 35410.

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

It can be written as a sum of positive squares in 4 ways, for example, as 61685316 + 1192182784 = 7854^2 + 34528^2 .

It is a super-2 number, since 2×1253868100² = 3144370424395220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1253868107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 352330 + ... + 355870.

Almost surely, 2^1253868100 is an apocalyptic number.

1253868100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1253868100 is the 35410-th square number.

It is an amenable number.

1253868100 is an abundant number, since it is smaller than the sum of its proper divisors (1467794291).

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

1253868100 is an frugal number, since it uses more digits than its factorization.

1253868100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7096 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The cubic root of 1253868100 is about 1078.3273433561.

The spelling of 1253868100 in words is "one billion, two hundred fifty-three million, eight hundred sixty-eight thousand, one hundred".