1001009461 has 2 divisors, whose sum is σ = 1001009462. Its totient is φ = 1001009460.

The previous prime is 1001009441. The next prime is 1001009467. The reversal of 1001009461 is 1649001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 723287236 + 277722225 = 26894^2 + 16665^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001009461 - 2¹³ = 1001001269 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001009467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500504730 + 500504731.

It is an arithmetic number, because the mean of its divisors is an integer number (500504731).

Almost surely, 2^1001009461 is an apocalyptic number.

It is an amenable number.

1001009461 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001009461 is an equidigital number, since it uses as much as digits as its factorization.

1001009461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 1001009461 is about 31638.7335555645. The cubic root of 1001009461 is about 1000.3363738400.

It can be divided in two parts, 100100 and 9461, that added together give a square (109561 = 331²).

The spelling of 1001009461 in words is "one billion, one million, nine thousand, four hundred sixty-one".