157563 has 24 divisors (see below), whose sum is σ = 270816. Its totient is φ = 86400.

The previous prime is 157561. The next prime is 157571. The reversal of 157563 is 365751.

It is not a de Polignac number, because 157563 - 2¹ = 157561 is a prime.

It is a d-powerful number, because it can be written as 1 + 5⁷ + 5⁷ + 7 + 6⁴ + 3² .

It is a D-number.

157563 is a lucky number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (157561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2553 + ... + 2613.

It is an arithmetic number, because the mean of its divisors is an integer number (11284).

2¹⁵⁷⁵⁶³ is an apocalyptic number.

157563 is a deficient number, since it is larger than the sum of its proper divisors (113253).

157563 is a wasteful number, since it uses less digits than its factorization.

157563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 112 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 157563 is about 396.9420612634. The cubic root of 157563 is about 54.0113145016.

It can be divided in two parts, 1575 and 63, that multiplied together give a square (99225 = 315²).

The spelling of 157563 in words is "one hundred fifty-seven thousand, five hundred sixty-three".