252015451441 has 12 divisors (see below), whose sum is σ = 272907379548. Its totient is φ = 232616938944.

The previous prime is 252015451439. The next prime is 252015451477. The reversal of 252015451441 is 144154510252.

It can be written as a sum of positive squares in 6 ways, for example, as 54430756416 + 197584695025 = 233304^2 + 444505^2 .

It is not a de Polignac number, because 252015451441 - 2¹ = 252015451439 is a prime.

It is a super-2 number, since 2×252015451441² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 252015451397 and 252015451406.

It is not an unprimeable number, because it can be changed into a prime (252015451141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4666791 + ... + 4720483.

It is an arithmetic number, because the mean of its divisors is an integer number (22742281629).

Almost surely, 2^252015451441 is an apocalyptic number.

It is an amenable number.

252015451441 is a deficient number, since it is larger than the sum of its proper divisors (20891928107).

252015451441 is a wasteful number, since it uses less digits than its factorization.

252015451441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81492 (or 81479 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 34.

Adding to 252015451441 its reverse (144154510252), we get a palindrome (396169961693).

The spelling of 252015451441 in words is "two hundred fifty-two billion, fifteen million, four hundred fifty-one thousand, four hundred forty-one".