152561 has 6 divisors (see below), whose sum is σ = 158886. Its totient is φ = 146400.

The previous prime is 152539. The next prime is 152563. The reversal of 152561 is 165251.

152561 = T₃₈ + T₃₉ + ... + T₉₈.

It can be written as a sum of positive squares in 3 ways, for example, as 34225 + 118336 = 185^2 + 344^2 .

It is not a de Polignac number, because 152561 - 2¹⁰ = 151537 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152563) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2471 + ... + 2531.

It is an arithmetic number, because the mean of its divisors is an integer number (26481).

2¹⁵²⁵⁶¹ is an apocalyptic number.

It is an amenable number.

152561 is a deficient number, since it is larger than the sum of its proper divisors (6325).

152561 is an frugal number, since it uses more digits than its factorization.

152561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 102 counting only the distinct ones).

The product of its digits is 300, while the sum is 20.

The square root of 152561 is about 390.5905784834. The cubic root of 152561 is about 53.4336090894.

It can be divided in two parts, 1525 and 61, that multiplied together give a square (93025 = 305²).

The spelling of 152561 in words is "one hundred fifty-two thousand, five hundred sixty-one".