1253708820 has 384 divisors, whose sum is σ = 4961402880. Its totient is φ = 255674880.

The previous prime is 1253708803. The next prime is 1253708837. The reversal of 1253708820 is 288073521.

It is an interprime number because it is at equal distance from previous prime (1253708803) and next prime (1253708837).

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 127 ways as a sum of consecutive naturals, for example, 1522929 + ... + 1523751.

It is an arithmetic number, because the mean of its divisors is an integer number (12920320).

Almost surely, 2^1253708820 is an apocalyptic number.

1253708820 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 1253708820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480701440).

1253708820 is an abundant number, since it is smaller than the sum of its proper divisors (3707694060).

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

1253708820 is a wasteful number, since it uses less digits than its factorization.

1253708820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1253708820 is about 35407.7508463896. The cubic root of 1253708820 is about 1078.2816811230.

The spelling of 1253708820 in words is "one billion, two hundred fifty-three million, seven hundred eight thousand, eight hundred twenty".