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2137005461 is a prime number
BaseRepresentation
bin111111101100000…
…0001110110010101
312111221011010101102
41333120001312111
513334033133321
6552015235445
7103646150423
oct17730016625
95457133342
102137005461
119a7313918
124b7818b85
13280976696
14163b60113
15c7926c0b
hex7f601d95

2137005461 has 2 divisors, whose sum is σ = 2137005462. Its totient is φ = 2137005460.

The previous prime is 2137005439. The next prime is 2137005503. The reversal of 2137005461 is 1645007312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2131576561 + 5428900 = 46169^2 + 2330^2 .

It is a cyclic number.

It is not a de Polignac number, because 2137005461 - 26 = 2137005397 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2137005061) 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 as a sum of consecutive naturals, namely, 1068502730 + 1068502731.

It is an arithmetic number, because the mean of its divisors is an integer number (1068502731).

Almost surely, 22137005461 is an apocalyptic number.

It is an amenable number.

2137005461 is a deficient number, since it is larger than the sum of its proper divisors (1).

2137005461 is an equidigital number, since it uses as much as digits as its factorization.

2137005461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 2137005461 is about 46227.7563915879. The cubic root of 2137005461 is about 1288.0573811367.

The spelling of 2137005461 in words is "two billion, one hundred thirty-seven million, five thousand, four hundred sixty-one".