253151964 has 144 divisors (see below), whose sum is σ = 746299008. Its totient is φ = 71645184.

The previous prime is 253151959. The next prime is 253151971. The reversal of 253151964 is 469151352.

253151964 is digitally balanced in base 3, because in such base 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 (36).

It is a congruent number.

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, 373594 + ... + 374270.

It is an arithmetic number, because the mean of its divisors is an integer number (5182632).

Almost surely, 2^253151964 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 253151964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373149504).

253151964 is an abundant number, since it is smaller than the sum of its proper divisors (493147044).

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

253151964 is a wasteful number, since it uses less digits than its factorization.

253151964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 759 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 253151964 is about 15910.7499508980. The cubic root of 253151964 is about 632.5969597278.

The spelling of 253151964 in words is "two hundred fifty-three million, one hundred fifty-one thousand, nine hundred sixty-four".