10025153505 has 24 divisors (see below), whose sum is σ = 17382454440. Its totient is φ = 5345049600.

The previous prime is 10025153491. The next prime is 10025153539. The reversal of 10025153505 is 50535152001.

10025153505 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 5 + 153 + 505 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 326055249 + 9699098256 = 18057^2 + 98484^2 .

It is not a de Polignac number, because 10025153505 - 2¹¹ = 10025151457 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114801 + ... + 182289.

It is an arithmetic number, because the mean of its divisors is an integer number (724268935).

Almost surely, 2^10025153505 is an apocalyptic number.

10025153505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10025153505 is a deficient number, since it is larger than the sum of its proper divisors (7357300935).

10025153505 is a wasteful number, since it uses less digits than its factorization.

10025153505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70801 (or 70798 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 10025153505 in words is "ten billion, twenty-five million, one hundred fifty-three thousand, five hundred five".