126359253 has 48 divisors (see below), whose sum is σ = 200491200. Its totient is φ = 76412160.

The previous prime is 126359251. The next prime is 126359257. The reversal of 126359253 is 352953621.

126359253 is a `hidden beast` number, since 1 + 2 + 63 + 592 + 5 + 3 = 666.

It is not a de Polignac number, because 126359253 - 2¹ = 126359251 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126359251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469603 + ... + 469871.

It is an arithmetic number, because the mean of its divisors is an integer number (4176900).

Almost surely, 2^126359253 is an apocalyptic number.

It is an amenable number.

126359253 is a deficient number, since it is larger than the sum of its proper divisors (74131947).

126359253 is a wasteful number, since it uses less digits than its factorization.

126359253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 399 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 126359253 is about 11240.9631704761. The cubic root of 126359253 is about 501.8058075996.

It can be divided in two parts, 1263 and 59253, that added together give a square (60516 = 246²).

The spelling of 126359253 in words is "one hundred twenty-six million, three hundred fifty-nine thousand, two hundred fifty-three".