1253561310 has 24 divisors (see below), whose sum is σ = 3259259640. Its totient is φ = 334282992.

The previous prime is 1253561269. The next prime is 1253561311. The reversal of 1253561310 is 131653521.

1253561310 is a `hidden beast` number, since 1 + 2 + 5 + 35 + 613 + 10 = 666.

It is a super-2 number, since 2×1253561310² = 3142831915857832200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253561311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6964140 + ... + 6964319.

It is an arithmetic number, because the mean of its divisors is an integer number (135802485).

Almost surely, 2^1253561310 is an apocalyptic number.

1253561310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1253561310 is an abundant number, since it is smaller than the sum of its proper divisors (2005698330).

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

1253561310 is a wasteful number, since it uses less digits than its factorization.

1253561310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13928472 (or 13928469 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 1253561310 is about 35405.6677666161. The cubic root of 1253561310 is about 1078.2393896523.

The spelling of 1253561310 in words is "one billion, two hundred fifty-three million, five hundred sixty-one thousand, three hundred ten".