1253652920 has 64 divisors (see below), whose sum is σ = 3047980320. Its totient is φ = 461320704.

The previous prime is 1253652899. The next prime is 1253652979. The reversal of 1253652920 is 292563521.

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, 155714 + ... + 163566.

Almost surely, 2^1253652920 is an apocalyptic number.

1253652920 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 1253652920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523990160).

1253652920 is an abundant number, since it is smaller than the sum of its proper divisors (1794327400).

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

1253652920 is a wasteful number, since it uses less digits than its factorization.

1253652920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8184 (or 8180 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 1253652920 is about 35406.9614624017. The cubic root of 1253652920 is about 1078.2656548493.

It can be divided in two parts, 12536 and 52920, that added together give a palindrome (65456).

The spelling of 1253652920 in words is "one billion, two hundred fifty-three million, six hundred fifty-two thousand, nine hundred twenty".