1253145810 has 64 divisors (see below), whose sum is σ = 3475872000. Its totient is φ = 283210752.

The previous prime is 1253145757. The next prime is 1253145847. The reversal of 1253145810 is 185413521.

1253145810 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1253145810² = 3140748842241112200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14835 + ... + 52214.

It is an arithmetic number, because the mean of its divisors is an integer number (54310500).

Almost surely, 2^1253145810 is an apocalyptic number.

1253145810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1253145810 is an abundant number, since it is smaller than the sum of its proper divisors (2222726190).

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

1253145810 is a wasteful number, since it uses less digits than its factorization.

1253145810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67155.

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 1253145810 is about 35399.7995757038. The cubic root of 1253145810 is about 1078.1202469692.

The spelling of 1253145810 in words is "one billion, two hundred fifty-three million, one hundred forty-five thousand, eight hundred ten".