1253713920 has 192 divisors, whose sum is σ = 4123042560. Its totient is φ = 324993024.

The previous prime is 1253713913. The next prime is 1253713927. The reversal of 1253713920 is 293173521.

It is an interprime number because it is at equal distance from previous prime (1253713913) and next prime (1253713927).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253713927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1136089 + ... + 1137191.

It is an arithmetic number, because the mean of its divisors is an integer number (21474180).

Almost surely, 2^1253713920 is an apocalyptic number.

1253713920 is a gapful number since it is divisible by the number (10) 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 1253713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061521280).

1253713920 is an abundant number, since it is smaller than the sum of its proper divisors (2869328640).

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

1253713920 is a wasteful number, since it uses less digits than its factorization.

1253713920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 1253713920 is about 35407.8228644462. The cubic root of 1253713920 is about 1078.2831432459.

The spelling of 1253713920 in words is "one billion, two hundred fifty-three million, seven hundred thirteen thousand, nine hundred twenty".