2535253267104 has 48 divisors (see below), whose sum is σ = 7394488698240. Its totient is φ = 845084422080.

The previous prime is 2535253267073. The next prime is 2535253267121. The reversal of 2535253267104 is 4017623525352.

2535253267104 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 2 + 532 + 6 + 7 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×2535253267104³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2535253267104.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1467159592 + ... + 1467161319.

It is an arithmetic number, because the mean of its divisors is an integer number (154051847880).

Almost surely, 2^{2535253267104} is an apocalyptic number.

2535253267104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2535253267104 is an abundant number, since it is smaller than the sum of its proper divisors (4859235431136).

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

2535253267104 is a wasteful number, since it uses less digits than its factorization.

2535253267104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934320930 (or 2934320916 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 2535253267104 in words is "two trillion, five hundred thirty-five billion, two hundred fifty-three million, two hundred sixty-seven thousand, one hundred four".