1253167104 has 208 divisors, whose sum is σ = 4048057728. Its totient is φ = 336592896.

The previous prime is 1253167093. The next prime is 1253167133. The reversal of 1253167104 is 4017613521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1461844 + ... + 1462700.

It is an arithmetic number, because the mean of its divisors is an integer number (19461816).

Almost surely, 2^1253167104 is an apocalyptic number.

1253167104 is a gapful number since it is divisible by the number (14) 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 1253167104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024028864).

1253167104 is an abundant number, since it is smaller than the sum of its proper divisors (2794890624).

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

1253167104 is an equidigital number, since it uses as much as digits as its factorization.

1253167104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1253167104 is about 35400.1003388408. The cubic root of 1253167104 is about 1078.1263535644.

The spelling of 1253167104 in words is "one billion, two hundred fifty-three million, one hundred sixty-seven thousand, one hundred four".