1309825530 has 192 divisors, whose sum is σ = 3824271360. Its totient is φ = 308924928.

The previous prime is 1309825529. The next prime is 1309825603. The reversal of 1309825530 is 355289031.

1309825530 is a `hidden beast` number, since 1 + 30 + 98 + 2 + 5 + 530 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3419719 + ... + 3420101.

It is an arithmetic number, because the mean of its divisors is an integer number (19918080).

Almost surely, 2^1309825530 is an apocalyptic number.

1309825530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1309825530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912135680).

1309825530 is an abundant number, since it is smaller than the sum of its proper divisors (2514445830).

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

1309825530 is a wasteful number, since it uses less digits than its factorization.

1309825530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 522 counting only the distinct ones).

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

The square root of 1309825530 is about 36191.5118501562. The cubic root of 1309825530 is about 1094.1356035544.

The spelling of 1309825530 in words is "one billion, three hundred nine million, eight hundred twenty-five thousand, five hundred thirty".