253551120 has 40 divisors (see below), whose sum is σ = 786009216. Its totient is φ = 67613568.

The previous prime is 253551079. The next prime is 253551127. The reversal of 253551120 is 21155352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (253551127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 527992 + ... + 528471.

Almost surely, 2^253551120 is an apocalyptic number.

253551120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253551120 is an abundant number, since it is smaller than the sum of its proper divisors (532458096).

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

253551120 is a wasteful number, since it uses less digits than its factorization.

253551120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056479 (or 1056473 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 253551120 is about 15923.2886050589. The cubic root of 253551120 is about 632.9292664213.

The spelling of 253551120 in words is "two hundred fifty-three million, five hundred fifty-one thousand, one hundred twenty".