253351560 has 192 divisors, whose sum is σ = 964768320. Its totient is φ = 52631040.

The previous prime is 253351517. The next prime is 253351577. The reversal of 253351560 is 65153352.

253351560 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 62722 + ... + 66638.

It is an arithmetic number, because the mean of its divisors is an integer number (5024835).

Almost surely, 2^253351560 is an apocalyptic number.

253351560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253351560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482384160).

253351560 is an abundant number, since it is smaller than the sum of its proper divisors (711416760).

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

253351560 is a wasteful number, since it uses less digits than its factorization.

253351560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956 (or 3945 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 253351560 is about 15917.0210780786. The cubic root of 253351560 is about 632.7631716891.

The spelling of 253351560 in words is "two hundred fifty-three million, three hundred fifty-one thousand, five hundred sixty".