153006401 has 2 divisors, whose sum is σ = 153006402. Its totient is φ = 153006400.

The previous prime is 153006379. The next prime is 153006431. The reversal of 153006401 is 104600351.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101525776 + 51480625 = 10076^2 + 7175^2 .

It is an emirp because it is prime and its reverse (104600351) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 153006401 - 2¹⁸ = 152744257 is a prime.

It is a super-3 number, since 3×153006401³ (a number of 26 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (153006431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76503200 + 76503201.

It is an arithmetic number, because the mean of its divisors is an integer number (76503201).

Almost surely, 2^153006401 is an apocalyptic number.

It is an amenable number.

153006401 is a deficient number, since it is larger than the sum of its proper divisors (1).

153006401 is an equidigital number, since it uses as much as digits as its factorization.

153006401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 153006401 is about 12369.5756192361. The cubic root of 153006401 is about 534.8555827625.

Adding to 153006401 its reverse (104600351), we get a palindrome (257606752).

The spelling of 153006401 in words is "one hundred fifty-three million, six thousand, four hundred one".