514120401 has 12 divisors (see below), whose sum is σ = 749972340. Its totient is φ = 339352800.

The previous prime is 514120393. The next prime is 514120417. The reversal of 514120401 is 104021415.

It can be written as a sum of positive squares in 2 ways, for example, as 296528400 + 217592001 = 17220^2 + 14751^2 .

It is not a de Polignac number, because 514120401 - 2³ = 514120393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (514130401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281886 + ... + 283703.

It is an arithmetic number, because the mean of its divisors is an integer number (62497695).

Almost surely, 2^514120401 is an apocalyptic number.

It is an amenable number.

514120401 is a deficient number, since it is larger than the sum of its proper divisors (235851939).

514120401 is a wasteful number, since it uses less digits than its factorization.

514120401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565696 (or 565693 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 514120401 is about 22674.2232722535. The cubic root of 514120401 is about 801.1028544622.

Adding to 514120401 its reverse (104021415), we get a palindrome (618141816).

The spelling of 514120401 in words is "five hundred fourteen million, one hundred twenty thousand, four hundred one".