1520153082 has 128 divisors (see below), whose sum is σ = 3948595200. Its totient is φ = 429876720.

The previous prime is 1520153081. The next prime is 1520153119. The reversal of 1520153082 is 2803510251.

It is a happy number.

1520153082 is a `hidden beast` number, since 1 + 52 + 0 + 1 + 530 + 82 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1520153081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4010769 + ... + 4011147.

It is an arithmetic number, because the mean of its divisors is an integer number (30848400).

Almost surely, 2^1520153082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1520153082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974297600).

1520153082 is an abundant number, since it is smaller than the sum of its proper divisors (2428442118).

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

1520153082 is an equidigital number, since it uses as much as digits as its factorization.

1520153082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1520153082 is about 38989.1405650343. The cubic root of 1520153082 is about 1149.8180132942.

1520153082 divided by its sum of digits (27) gives a triangular number (56301966 = T₁₀₆₁₁).

The spelling of 1520153082 in words is "one billion, five hundred twenty million, one hundred fifty-three thousand, eighty-two".