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1407416513 is a prime number
BaseRepresentation
bin101001111100011…
…0111100011000001
310122002022011111112
41103320313203001
510340244312023
6351353453105
746606562066
oct12370674301
93562264445
101407416513
116624a4948
12333411195
13195777449
14d4cc2c6d
158385c478
hex53e378c1

1407416513 has 2 divisors, whose sum is σ = 1407416514. Its totient is φ = 1407416512.

The previous prime is 1407416509. The next prime is 1407416557. The reversal of 1407416513 is 3156147041.

1407416513 = 265272 + 265282.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 703734784 + 703681729 = 26528^2 + 26527^2 .

It is a cyclic number.

It is not a de Polignac number, because 1407416513 - 22 = 1407416509 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1407416513.

It is not a weakly prime, because it can be changed into another prime (1407496513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 703708256 + 703708257.

It is an arithmetic number, because the mean of its divisors is an integer number (703708257).

Almost surely, 21407416513 is an apocalyptic number.

1407416513 is the 26528-th centered square number.

It is an amenable number.

1407416513 is a deficient number, since it is larger than the sum of its proper divisors (1).

1407416513 is an equidigital number, since it uses as much as digits as its factorization.

1407416513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 1407416513 is about 37515.5502825162. The cubic root of 1407416513 is about 1120.6608857261.

The spelling of 1407416513 in words is "one billion, four hundred seven million, four hundred sixteen thousand, five hundred thirteen".