2735476125252 has 96 divisors (see below), whose sum is σ = 6918622276608. Its totient is φ = 836198920704.

The previous prime is 2735476125251. The next prime is 2735476125299. The reversal of 2735476125252 is 2525216745372.

2735476125252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2735476125195 and 2735476125204.

It is not an unprimeable number, because it can be changed into a prime (2735476125251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37017613 + ... + 37091435.

It is an arithmetic number, because the mean of its divisors is an integer number (72068982048).

Almost surely, 2^{2735476125252} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2735476125252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459311138304).

2735476125252 is an abundant number, since it is smaller than the sum of its proper divisors (4183146151356).

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

2735476125252 is a wasteful number, since it uses less digits than its factorization.

2735476125252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75389 (or 75387 counting only the distinct ones).

The product of its digits is 7056000, while the sum is 51.

The spelling of 2735476125252 in words is "two trillion, seven hundred thirty-five billion, four hundred seventy-six million, one hundred twenty-five thousand, two hundred fifty-two".