253261512 has 256 divisors, whose sum is σ = 870912000. Its totient is φ = 66548736.

The previous prime is 253261499. The next prime is 253261517. The reversal of 253261512 is 215162352.

It is a happy number.

253261512 is a `hidden beast` number, since 2 + 5 + 32 + 615 + 12 = 666.

253261512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×253261512² = 128282786921052288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (253261517) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1516453 + ... + 1516619.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 2^253261512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253261512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456000).

253261512 is an abundant number, since it is smaller than the sum of its proper divisors (617650488).

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

253261512 is a wasteful number, since it uses less digits than its factorization.

253261512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 255 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 253261512 is about 15914.1921566883. The cubic root of 253261512 is about 632.6881957544.

The spelling of 253261512 in words is "two hundred fifty-three million, two hundred sixty-one thousand, five hundred twelve".