1461001461 has 16 divisors (see below), whose sum is σ = 1971527808. Its totient is φ = 962280000.

The previous prime is 1461001457. The next prime is 1461001501. The reversal of 1461001461 is 1641001641.

It is not a de Polignac number, because 1461001461 - 2² = 1461001457 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461001261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142611 + ... + 152511.

It is an arithmetic number, because the mean of its divisors is an integer number (123220488).

Almost surely, 2^1461001461 is an apocalyptic number.

It is an amenable number.

1461001461 is a deficient number, since it is larger than the sum of its proper divisors (510526347).

1461001461 is a wasteful number, since it uses less digits than its factorization.

1461001461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10492.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1461001461 is about 38223.0488187429. The cubic root of 1461001461 is about 1134.7065193709.

It can be divided in two parts, 146100 and 1461, that multiplied together give a square (213452100 = 14610²).

The spelling of 1461001461 in words is "one billion, four hundred sixty-one million, one thousand, four hundred sixty-one".