2652523135020 has 1152 divisors, whose sum is σ = 9709442555904. Its totient is φ = 579778560000.

The previous prime is 2652523134941. The next prime is 2652523135027. The reversal of 2652523135020 is 205313252562.

2652523135020 is a `hidden beast` number, since 2 + 6 + 5 + 252 + 31 + 350 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2652523135027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5679920827 + ... + 5679921293.

It is an arithmetic number, because the mean of its divisors is an integer number (8428335552).

Almost surely, 2^{2652523135020} is an apocalyptic number.

2652523135020 is a gapful number since it is divisible by the number (20) 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 2652523135020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4854721277952).

2652523135020 is an abundant number, since it is smaller than the sum of its proper divisors (7056919420884).

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

2652523135020 is a wasteful number, since it uses less digits than its factorization.

2652523135020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 2652523135020 its reverse (205313252562), we get a palindrome (2857836387582).

The spelling of 2652523135020 in words is "two trillion, six hundred fifty-two billion, five hundred twenty-three million, one hundred thirty-five thousand, twenty".