2252520035007 has 96 divisors (see below), whose sum is σ = 3559571930880. Its totient is φ = 1255795107840.

The previous prime is 2252520034987. The next prime is 2252520035069. The reversal of 2252520035007 is 7005300252522.

It is not a de Polignac number, because 2252520035007 - 2³⁰ = 2251446293183 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252520015007) 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 95 ways as a sum of consecutive naturals, for example, 61226344 + ... + 61263122.

It is an arithmetic number, because the mean of its divisors is an integer number (37078874280).

Almost surely, 2^{2252520035007} is an apocalyptic number.

2252520035007 is a deficient number, since it is larger than the sum of its proper divisors (1307051895873).

2252520035007 is a wasteful number, since it uses less digits than its factorization.

2252520035007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36981 (or 36962 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 33.

Adding to 2252520035007 its reverse (7005300252522), we get a palindrome (9257820287529).

The spelling of 2252520035007 in words is "two trillion, two hundred fifty-two billion, five hundred twenty million, thirty-five thousand, seven".