261752667 has 16 divisors (see below), whose sum is σ = 382149120. Its totient is φ = 158047200.

The previous prime is 261752663. The next prime is 261752671. The reversal of 261752667 is 766257162.

It is an interprime number because it is at equal distance from previous prime (261752663) and next prime (261752671).

It is not a de Polignac number, because 261752667 - 2² = 261752663 is a prime.

It is a super-2 number, since 2×261752667² = 137028917363225778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (261752663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5692 + ... + 23577.

It is an arithmetic number, because the mean of its divisors is an integer number (23884320).

Almost surely, 2^261752667 is an apocalyptic number.

261752667 is a deficient number, since it is larger than the sum of its proper divisors (120396453).

261752667 is a wasteful number, since it uses less digits than its factorization.

261752667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29554.

The product of its digits is 211680, while the sum is 42.

The square root of 261752667 is about 16178.7721103921. The cubic root of 261752667 is about 639.6813737865.

The spelling of 261752667 in words is "two hundred sixty-one million, seven hundred fifty-two thousand, six hundred sixty-seven".